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Finding the Fourth Proportional to 2,565.31, 3,537.79 and 1,680.79

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Solution

The fourth proportional to 2,565.31, 3,537.79 and 1,680.79 is: 2,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.31 : 3,537.79 = 1,680.79 : x
  2. Step 2: Convert to fraction form
    2,565.31/3,537.79 = 1,680.79/x
  3. Step 3: Cross multiply
    2,565.31x = 3,537.79 × 1,680.79
  4. Step 4: Simplify right side
    2,565.31x = 5,946,282.05
  5. Step 5: Solve for x
    x = 5,946,282.05/2,565.31
  6. Step 6: Final answer
    x = 2,317.96

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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.