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Finding the Fourth Proportional to 2,174.44, 3,000.76 and 1,290.22

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Solution

The fourth proportional to 2,174.44, 3,000.76 and 1,290.22 is: 1,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.44 : 3,000.76 = 1,290.22 : x
  2. Step 2: Convert to fraction form
    2,174.44/3,000.76 = 1,290.22/x
  3. Step 3: Cross multiply
    2,174.44x = 3,000.76 × 1,290.22
  4. Step 4: Simplify right side
    2,174.44x = 3,871,625.56
  5. Step 5: Solve for x
    x = 3,871,625.56/2,174.44
  6. Step 6: Final answer
    x = 1,780.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.