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Finding the Fourth Proportional to 2,084.20, 3,125.49 and 784.96

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Solution

The fourth proportional to 2,084.20, 3,125.49 and 784.96 is: 1,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.20 : 3,125.49 = 784.96 : x
  2. Step 2: Convert to fraction form
    2,084.20/3,125.49 = 784.96/x
  3. Step 3: Cross multiply
    2,084.20x = 3,125.49 × 784.96
  4. Step 4: Simplify right side
    2,084.20x = 2,453,384.63
  5. Step 5: Solve for x
    x = 2,453,384.63/2,084.20
  6. Step 6: Final answer
    x = 1,177.13

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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.