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Finding the Fourth Proportional to 2,463.56, 3,688.80 and 2,032.64

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Solution

The fourth proportional to 2,463.56, 3,688.80 and 2,032.64 is: 3,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.56 : 3,688.80 = 2,032.64 : x
  2. Step 2: Convert to fraction form
    2,463.56/3,688.80 = 2,032.64/x
  3. Step 3: Cross multiply
    2,463.56x = 3,688.80 × 2,032.64
  4. Step 4: Simplify right side
    2,463.56x = 7,498,002.43
  5. Step 5: Solve for x
    x = 7,498,002.43/2,463.56
  6. Step 6: Final answer
    x = 3,043.56

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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.