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Finding the Fourth Proportional to 2,084.13, 3,124.98 and 784.89

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Solution

The fourth proportional to 2,084.13, 3,124.98 and 784.89 is: 1,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.13 : 3,124.98 = 784.89 : x
  2. Step 2: Convert to fraction form
    2,084.13/3,124.98 = 784.89/x
  3. Step 3: Cross multiply
    2,084.13x = 3,124.98 × 784.89
  4. Step 4: Simplify right side
    2,084.13x = 2,452,765.55
  5. Step 5: Solve for x
    x = 2,452,765.55/2,084.13
  6. Step 6: Final answer
    x = 1,176.88

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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.