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Finding the Fourth Proportional to 1,402.10, 2,101.57 and 610.55

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Solution

The fourth proportional to 1,402.10, 2,101.57 and 610.55 is: 915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.10 : 2,101.57 = 610.55 : x
  2. Step 2: Convert to fraction form
    1,402.10/2,101.57 = 610.55/x
  3. Step 3: Cross multiply
    1,402.10x = 2,101.57 × 610.55
  4. Step 4: Simplify right side
    1,402.10x = 1,283,113.56
  5. Step 5: Solve for x
    x = 1,283,113.56/1,402.10
  6. Step 6: Final answer
    x = 915.14

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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.