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Finding the Fourth Proportional to 2,489.42, 3,734.13 and 1,102.46

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Solution

The fourth proportional to 2,489.42, 3,734.13 and 1,102.46 is: 1,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.42 : 3,734.13 = 1,102.46 : x
  2. Step 2: Convert to fraction form
    2,489.42/3,734.13 = 1,102.46/x
  3. Step 3: Cross multiply
    2,489.42x = 3,734.13 × 1,102.46
  4. Step 4: Simplify right side
    2,489.42x = 4,116,710.29
  5. Step 5: Solve for x
    x = 4,116,710.29/2,489.42
  6. Step 6: Final answer
    x = 1,653.69

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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.