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Finding the Fourth Proportional to 2,055.84, 3,083.42 and 739.33

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Solution

The fourth proportional to 2,055.84, 3,083.42 and 739.33 is: 1,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.84 : 3,083.42 = 739.33 : x
  2. Step 2: Convert to fraction form
    2,055.84/3,083.42 = 739.33/x
  3. Step 3: Cross multiply
    2,055.84x = 3,083.42 × 739.33
  4. Step 4: Simplify right side
    2,055.84x = 2,279,666.22
  5. Step 5: Solve for x
    x = 2,279,666.22/2,055.84
  6. Step 6: Final answer
    x = 1,108.87

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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.