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Finding the Fourth Proportional to 2,456.73, 3,685.55 and 701.66

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Solution

The fourth proportional to 2,456.73, 3,685.55 and 701.66 is: 1,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.73 : 3,685.55 = 701.66 : x
  2. Step 2: Convert to fraction form
    2,456.73/3,685.55 = 701.66/x
  3. Step 3: Cross multiply
    2,456.73x = 3,685.55 × 701.66
  4. Step 4: Simplify right side
    2,456.73x = 2,586,012.67
  5. Step 5: Solve for x
    x = 2,586,012.67/2,456.73
  6. Step 6: Final answer
    x = 1,052.62

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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.