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Finding the Fourth Proportional to 2,517.92, 3,475.68 and 1,470

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Solution

The fourth proportional to 2,517.92, 3,475.68 and 1,470 is: 2,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.92 : 3,475.68 = 1,470 : x
  2. Step 2: Convert to fraction form
    2,517.92/3,475.68 = 1,470/x
  3. Step 3: Cross multiply
    2,517.92x = 3,475.68 × 1,470
  4. Step 4: Simplify right side
    2,517.92x = 5,109,249.60
  5. Step 5: Solve for x
    x = 5,109,249.60/2,517.92
  6. Step 6: Final answer
    x = 2,029.15

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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.