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Finding the Fourth Proportional to 2,489.58, 3,734.33 and 2,102.07

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Solution

The fourth proportional to 2,489.58, 3,734.33 and 2,102.07 is: 3,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.58 : 3,734.33 = 2,102.07 : x
  2. Step 2: Convert to fraction form
    2,489.58/3,734.33 = 2,102.07/x
  3. Step 3: Cross multiply
    2,489.58x = 3,734.33 × 2,102.07
  4. Step 4: Simplify right side
    2,489.58x = 7,849,812.55
  5. Step 5: Solve for x
    x = 7,849,812.55/2,489.58
  6. Step 6: Final answer
    x = 3,153.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.