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Finding the Fourth Proportional to 4,098.60, 6,146.10 and 1,632.60

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Solution

The fourth proportional to 4,098.60, 6,146.10 and 1,632.60 is: 2,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.60 : 6,146.10 = 1,632.60 : x
  2. Step 2: Convert to fraction form
    4,098.60/6,146.10 = 1,632.60/x
  3. Step 3: Cross multiply
    4,098.60x = 6,146.10 × 1,632.60
  4. Step 4: Simplify right side
    4,098.60x = 10,034,122.86
  5. Step 5: Solve for x
    x = 10,034,122.86/4,098.60
  6. Step 6: Final answer
    x = 2,448.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.