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Finding the Fourth Proportional to 2,340.41, 3,512.36 and 954.25

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Solution

The fourth proportional to 2,340.41, 3,512.36 and 954.25 is: 1,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.41 : 3,512.36 = 954.25 : x
  2. Step 2: Convert to fraction form
    2,340.41/3,512.36 = 954.25/x
  3. Step 3: Cross multiply
    2,340.41x = 3,512.36 × 954.25
  4. Step 4: Simplify right side
    2,340.41x = 3,351,663.13
  5. Step 5: Solve for x
    x = 3,351,663.13/2,340.41
  6. Step 6: Final answer
    x = 1,432.09

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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.