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Finding the Fourth Proportional to 1,938.29, 2,909.13 and 1,014.50

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Solution

The fourth proportional to 1,938.29, 2,909.13 and 1,014.50 is: 1,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.29 : 2,909.13 = 1,014.50 : x
  2. Step 2: Convert to fraction form
    1,938.29/2,909.13 = 1,014.50/x
  3. Step 3: Cross multiply
    1,938.29x = 2,909.13 × 1,014.50
  4. Step 4: Simplify right side
    1,938.29x = 2,951,309.10
  5. Step 5: Solve for x
    x = 2,951,309.10/1,938.29
  6. Step 6: Final answer
    x = 1,522.63

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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.