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Finding the Fourth Proportional to 2,124.13, 2,930.48 and 1,565.92

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Solution

The fourth proportional to 2,124.13, 2,930.48 and 1,565.92 is: 2,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.13 : 2,930.48 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    2,124.13/2,930.48 = 1,565.92/x
  3. Step 3: Cross multiply
    2,124.13x = 2,930.48 × 1,565.92
  4. Step 4: Simplify right side
    2,124.13x = 4,588,907.19
  5. Step 5: Solve for x
    x = 4,588,907.19/2,124.13
  6. Step 6: Final answer
    x = 2,160.37

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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.