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Finding the Fourth Proportional to 2,084.79, 3,128.42 and 769.47

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Solution

The fourth proportional to 2,084.79, 3,128.42 and 769.47 is: 1,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.79 : 3,128.42 = 769.47 : x
  2. Step 2: Convert to fraction form
    2,084.79/3,128.42 = 769.47/x
  3. Step 3: Cross multiply
    2,084.79x = 3,128.42 × 769.47
  4. Step 4: Simplify right side
    2,084.79x = 2,407,225.34
  5. Step 5: Solve for x
    x = 2,407,225.34/2,084.79
  6. Step 6: Final answer
    x = 1,154.66

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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.