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Finding the Fourth Proportional to 2,491.61, 3,730.18 and 1,448.43

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Solution

The fourth proportional to 2,491.61, 3,730.18 and 1,448.43 is: 2,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.61 : 3,730.18 = 1,448.43 : x
  2. Step 2: Convert to fraction form
    2,491.61/3,730.18 = 1,448.43/x
  3. Step 3: Cross multiply
    2,491.61x = 3,730.18 × 1,448.43
  4. Step 4: Simplify right side
    2,491.61x = 5,402,921.20
  5. Step 5: Solve for x
    x = 5,402,921.20/2,491.61
  6. Step 6: Final answer
    x = 2,168.44

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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.