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Finding the Fourth Proportional to 2,687.30, 3,707.84 and 1,567.58

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Solution

The fourth proportional to 2,687.30, 3,707.84 and 1,567.58 is: 2,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.30 : 3,707.84 = 1,567.58 : x
  2. Step 2: Convert to fraction form
    2,687.30/3,707.84 = 1,567.58/x
  3. Step 3: Cross multiply
    2,687.30x = 3,707.84 × 1,567.58
  4. Step 4: Simplify right side
    2,687.30x = 5,812,335.83
  5. Step 5: Solve for x
    x = 5,812,335.83/2,687.30
  6. Step 6: Final answer
    x = 2,162.89

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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.