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Finding the Fourth Proportional to 1,572.85, 2,169.89 and 1,402.43

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Solution

The fourth proportional to 1,572.85, 2,169.89 and 1,402.43 is: 1,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.85 : 2,169.89 = 1,402.43 : x
  2. Step 2: Convert to fraction form
    1,572.85/2,169.89 = 1,402.43/x
  3. Step 3: Cross multiply
    1,572.85x = 2,169.89 × 1,402.43
  4. Step 4: Simplify right side
    1,572.85x = 3,043,118.83
  5. Step 5: Solve for x
    x = 3,043,118.83/1,572.85
  6. Step 6: Final answer
    x = 1,934.79

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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.