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Finding the Fourth Proportional to 2,585.14, 3,567.17 and 1,747.67

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Solution

The fourth proportional to 2,585.14, 3,567.17 and 1,747.67 is: 2,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.14 : 3,567.17 = 1,747.67 : x
  2. Step 2: Convert to fraction form
    2,585.14/3,567.17 = 1,747.67/x
  3. Step 3: Cross multiply
    2,585.14x = 3,567.17 × 1,747.67
  4. Step 4: Simplify right side
    2,585.14x = 6,234,222.53
  5. Step 5: Solve for x
    x = 6,234,222.53/2,585.14
  6. Step 6: Final answer
    x = 2,411.56

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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.