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Finding the Fourth Proportional to 1,502.79, 2,073.76 and 839.50

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Solution

The fourth proportional to 1,502.79, 2,073.76 and 839.50 is: 1,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.79 : 2,073.76 = 839.50 : x
  2. Step 2: Convert to fraction form
    1,502.79/2,073.76 = 839.50/x
  3. Step 3: Cross multiply
    1,502.79x = 2,073.76 × 839.50
  4. Step 4: Simplify right side
    1,502.79x = 1,740,921.52
  5. Step 5: Solve for x
    x = 1,740,921.52/1,502.79
  6. Step 6: Final answer
    x = 1,158.46

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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.