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Finding the Fourth Proportional to 2,084.71, 3,127.65 and 785.92

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Solution

The fourth proportional to 2,084.71, 3,127.65 and 785.92 is: 1,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.71 : 3,127.65 = 785.92 : x
  2. Step 2: Convert to fraction form
    2,084.71/3,127.65 = 785.92/x
  3. Step 3: Cross multiply
    2,084.71x = 3,127.65 × 785.92
  4. Step 4: Simplify right side
    2,084.71x = 2,458,082.69
  5. Step 5: Solve for x
    x = 2,458,082.69/2,084.71
  6. Step 6: Final answer
    x = 1,179.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.