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Finding the Fourth Proportional to 2,129.52, 2,937.90 and 1,571.33

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Solution

The fourth proportional to 2,129.52, 2,937.90 and 1,571.33 is: 2,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.52 : 2,937.90 = 1,571.33 : x
  2. Step 2: Convert to fraction form
    2,129.52/2,937.90 = 1,571.33/x
  3. Step 3: Cross multiply
    2,129.52x = 2,937.90 × 1,571.33
  4. Step 4: Simplify right side
    2,129.52x = 4,616,417.75
  5. Step 5: Solve for x
    x = 4,616,417.75/2,129.52
  6. Step 6: Final answer
    x = 2,167.82

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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.