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Finding the Fourth Proportional to 2,123.88, 2,930.14 and 1,565.68

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Solution

The fourth proportional to 2,123.88, 2,930.14 and 1,565.68 is: 2,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.88 : 2,930.14 = 1,565.68 : x
  2. Step 2: Convert to fraction form
    2,123.88/2,930.14 = 1,565.68/x
  3. Step 3: Cross multiply
    2,123.88x = 2,930.14 × 1,565.68
  4. Step 4: Simplify right side
    2,123.88x = 4,587,661.60
  5. Step 5: Solve for x
    x = 4,587,661.60/2,123.88
  6. Step 6: Final answer
    x = 2,160.04

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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.