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Finding the Fourth Proportional to 2,000.60, 2,996.92 and 1,565.72

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Solution

The fourth proportional to 2,000.60, 2,996.92 and 1,565.72 is: 2,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.60 : 2,996.92 = 1,565.72 : x
  2. Step 2: Convert to fraction form
    2,000.60/2,996.92 = 1,565.72/x
  3. Step 3: Cross multiply
    2,000.60x = 2,996.92 × 1,565.72
  4. Step 4: Simplify right side
    2,000.60x = 4,692,337.58
  5. Step 5: Solve for x
    x = 4,692,337.58/2,000.60
  6. Step 6: Final answer
    x = 2,345.47

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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.