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Finding the Fourth Proportional to 2,394.71, 3,592.40 and 1,007.18

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Solution

The fourth proportional to 2,394.71, 3,592.40 and 1,007.18 is: 1,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.71 : 3,592.40 = 1,007.18 : x
  2. Step 2: Convert to fraction form
    2,394.71/3,592.40 = 1,007.18/x
  3. Step 3: Cross multiply
    2,394.71x = 3,592.40 × 1,007.18
  4. Step 4: Simplify right side
    2,394.71x = 3,618,170.43
  5. Step 5: Solve for x
    x = 3,618,170.43/2,394.71
  6. Step 6: Final answer
    x = 1,510.90

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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.