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Finding the Fourth Proportional to 2,478.25, 3,717.18 and 1,017.37

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Solution

The fourth proportional to 2,478.25, 3,717.18 and 1,017.37 is: 1,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.25 : 3,717.18 = 1,017.37 : x
  2. Step 2: Convert to fraction form
    2,478.25/3,717.18 = 1,017.37/x
  3. Step 3: Cross multiply
    2,478.25x = 3,717.18 × 1,017.37
  4. Step 4: Simplify right side
    2,478.25x = 3,781,747.42
  5. Step 5: Solve for x
    x = 3,781,747.42/2,478.25
  6. Step 6: Final answer
    x = 1,525.97

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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.