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Finding the Fourth Proportional to 1,358.16, 2,038.01 and 839.43

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Solution

The fourth proportional to 1,358.16, 2,038.01 and 839.43 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.16 : 2,038.01 = 839.43 : x
  2. Step 2: Convert to fraction form
    1,358.16/2,038.01 = 839.43/x
  3. Step 3: Cross multiply
    1,358.16x = 2,038.01 × 839.43
  4. Step 4: Simplify right side
    1,358.16x = 1,710,766.73
  5. Step 5: Solve for x
    x = 1,710,766.73/1,358.16
  6. Step 6: Final answer
    x = 1,259.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.