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Finding the Fourth Proportional to 2,456.64, 3,685.18 and 701.62

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Solution

The fourth proportional to 2,456.64, 3,685.18 and 701.62 is: 1,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.64 : 3,685.18 = 701.62 : x
  2. Step 2: Convert to fraction form
    2,456.64/3,685.18 = 701.62/x
  3. Step 3: Cross multiply
    2,456.64x = 3,685.18 × 701.62
  4. Step 4: Simplify right side
    2,456.64x = 2,585,579.43
  5. Step 5: Solve for x
    x = 2,585,579.43/2,456.64
  6. Step 6: Final answer
    x = 1,052.48

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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.