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Finding the Fourth Proportional to 2,636.16, 3,957.12 and 1,098.24

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Solution

The fourth proportional to 2,636.16, 3,957.12 and 1,098.24 is: 1,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.16 : 3,957.12 = 1,098.24 : x
  2. Step 2: Convert to fraction form
    2,636.16/3,957.12 = 1,098.24/x
  3. Step 3: Cross multiply
    2,636.16x = 3,957.12 × 1,098.24
  4. Step 4: Simplify right side
    2,636.16x = 4,345,867.47
  5. Step 5: Solve for x
    x = 4,345,867.47/2,636.16
  6. Step 6: Final answer
    x = 1,648.56

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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.