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Finding the Fourth Proportional to 2,423.76, 3,633.21 and 2,132.16

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Solution

The fourth proportional to 2,423.76, 3,633.21 and 2,132.16 is: 3,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.76 : 3,633.21 = 2,132.16 : x
  2. Step 2: Convert to fraction form
    2,423.76/3,633.21 = 2,132.16/x
  3. Step 3: Cross multiply
    2,423.76x = 3,633.21 × 2,132.16
  4. Step 4: Simplify right side
    2,423.76x = 7,746,585.03
  5. Step 5: Solve for x
    x = 7,746,585.03/2,423.76
  6. Step 6: Final answer
    x = 3,196.10

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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.