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Finding the Fourth Proportional to 2,340.56, 3,512.88 and 954.64

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Solution

The fourth proportional to 2,340.56, 3,512.88 and 954.64 is: 1,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.56 : 3,512.88 = 954.64 : x
  2. Step 2: Convert to fraction form
    2,340.56/3,512.88 = 954.64/x
  3. Step 3: Cross multiply
    2,340.56x = 3,512.88 × 954.64
  4. Step 4: Simplify right side
    2,340.56x = 3,353,535.76
  5. Step 5: Solve for x
    x = 3,353,535.76/2,340.56
  6. Step 6: Final answer
    x = 1,432.79

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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.