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Finding the Fourth Proportional to 2,321.46, 3,481.92 and 934.74

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Solution

The fourth proportional to 2,321.46, 3,481.92 and 934.74 is: 1,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.46 : 3,481.92 = 934.74 : x
  2. Step 2: Convert to fraction form
    2,321.46/3,481.92 = 934.74/x
  3. Step 3: Cross multiply
    2,321.46x = 3,481.92 × 934.74
  4. Step 4: Simplify right side
    2,321.46x = 3,254,689.90
  5. Step 5: Solve for x
    x = 3,254,689.90/2,321.46
  6. Step 6: Final answer
    x = 1,402.00

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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.