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Finding the Fourth Proportional to 2,084.76, 2,871.72 and 1,523.70

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Solution

The fourth proportional to 2,084.76, 2,871.72 and 1,523.70 is: 2,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.76 : 2,871.72 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    2,084.76/2,871.72 = 1,523.70/x
  3. Step 3: Cross multiply
    2,084.76x = 2,871.72 × 1,523.70
  4. Step 4: Simplify right side
    2,084.76x = 4,375,639.76
  5. Step 5: Solve for x
    x = 4,375,639.76/2,084.76
  6. Step 6: Final answer
    x = 2,098.87

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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.