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Finding the Fourth Proportional to 2,491.64, 3,732.41 and 1,155.56

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Solution

The fourth proportional to 2,491.64, 3,732.41 and 1,155.56 is: 1,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.64 : 3,732.41 = 1,155.56 : x
  2. Step 2: Convert to fraction form
    2,491.64/3,732.41 = 1,155.56/x
  3. Step 3: Cross multiply
    2,491.64x = 3,732.41 × 1,155.56
  4. Step 4: Simplify right side
    2,491.64x = 4,312,999.26
  5. Step 5: Solve for x
    x = 4,312,999.26/2,491.64
  6. Step 6: Final answer
    x = 1,730.99

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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.