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Finding the Fourth Proportional to 3,098.92, 4,645.12 and 1,018.39

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Solution

The fourth proportional to 3,098.92, 4,645.12 and 1,018.39 is: 1,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.92 : 4,645.12 = 1,018.39 : x
  2. Step 2: Convert to fraction form
    3,098.92/4,645.12 = 1,018.39/x
  3. Step 3: Cross multiply
    3,098.92x = 4,645.12 × 1,018.39
  4. Step 4: Simplify right side
    3,098.92x = 4,730,543.76
  5. Step 5: Solve for x
    x = 4,730,543.76/3,098.92
  6. Step 6: Final answer
    x = 1,526.51

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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.