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Finding the Fourth Proportional to 2,248.86, 3,104.38 and 1,410.04

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Solution

The fourth proportional to 2,248.86, 3,104.38 and 1,410.04 is: 1,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.86 : 3,104.38 = 1,410.04 : x
  2. Step 2: Convert to fraction form
    2,248.86/3,104.38 = 1,410.04/x
  3. Step 3: Cross multiply
    2,248.86x = 3,104.38 × 1,410.04
  4. Step 4: Simplify right side
    2,248.86x = 4,377,293.98
  5. Step 5: Solve for x
    x = 4,377,293.98/2,248.86
  6. Step 6: Final answer
    x = 1,946.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.