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Finding the Fourth Proportional to 2,139.62, 2,952.65 and 1,502.45

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Solution

The fourth proportional to 2,139.62, 2,952.65 and 1,502.45 is: 2,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.62 : 2,952.65 = 1,502.45 : x
  2. Step 2: Convert to fraction form
    2,139.62/2,952.65 = 1,502.45/x
  3. Step 3: Cross multiply
    2,139.62x = 2,952.65 × 1,502.45
  4. Step 4: Simplify right side
    2,139.62x = 4,436,209.06
  5. Step 5: Solve for x
    x = 4,436,209.06/2,139.62
  6. Step 6: Final answer
    x = 2,073.37

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