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Finding the Fourth Proportional to 2,989.50, 4,125.51 and 1,747.74

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Solution

The fourth proportional to 2,989.50, 4,125.51 and 1,747.74 is: 2,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.50 : 4,125.51 = 1,747.74 : x
  2. Step 2: Convert to fraction form
    2,989.50/4,125.51 = 1,747.74/x
  3. Step 3: Cross multiply
    2,989.50x = 4,125.51 × 1,747.74
  4. Step 4: Simplify right side
    2,989.50x = 7,210,318.85
  5. Step 5: Solve for x
    x = 7,210,318.85/2,989.50
  6. Step 6: Final answer
    x = 2,411.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.