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Finding the Fourth Proportional to 2,632.08, 3,948.10 and 684.12

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Solution

The fourth proportional to 2,632.08, 3,948.10 and 684.12 is: 1,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.08 : 3,948.10 = 684.12 : x
  2. Step 2: Convert to fraction form
    2,632.08/3,948.10 = 684.12/x
  3. Step 3: Cross multiply
    2,632.08x = 3,948.10 × 684.12
  4. Step 4: Simplify right side
    2,632.08x = 2,700,974.17
  5. Step 5: Solve for x
    x = 2,700,974.17/2,632.08
  6. Step 6: Final answer
    x = 1,026.17

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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.