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Finding the Fourth Proportional to 2,527.64, 3,491.54 and 2,291.85

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Solution

The fourth proportional to 2,527.64, 3,491.54 and 2,291.85 is: 3,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.64 : 3,491.54 = 2,291.85 : x
  2. Step 2: Convert to fraction form
    2,527.64/3,491.54 = 2,291.85/x
  3. Step 3: Cross multiply
    2,527.64x = 3,491.54 × 2,291.85
  4. Step 4: Simplify right side
    2,527.64x = 8,002,069.99
  5. Step 5: Solve for x
    x = 8,002,069.99/2,527.64
  6. Step 6: Final answer
    x = 3,165.83

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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.