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Finding the Fourth Proportional to 2,055.56, 3,083.34 and 669

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Solution

The fourth proportional to 2,055.56, 3,083.34 and 669 is: 1,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.56 : 3,083.34 = 669 : x
  2. Step 2: Convert to fraction form
    2,055.56/3,083.34 = 669/x
  3. Step 3: Cross multiply
    2,055.56x = 3,083.34 × 669
  4. Step 4: Simplify right side
    2,055.56x = 2,062,754.46
  5. Step 5: Solve for x
    x = 2,062,754.46/2,055.56
  6. Step 6: Final answer
    x = 1,003.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.