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Finding the Fourth Proportional to 2,083.72, 3,125.56 and 785.28

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Solution

The fourth proportional to 2,083.72, 3,125.56 and 785.28 is: 1,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.72 : 3,125.56 = 785.28 : x
  2. Step 2: Convert to fraction form
    2,083.72/3,125.56 = 785.28/x
  3. Step 3: Cross multiply
    2,083.72x = 3,125.56 × 785.28
  4. Step 4: Simplify right side
    2,083.72x = 2,454,439.76
  5. Step 5: Solve for x
    x = 2,454,439.76/2,083.72
  6. Step 6: Final answer
    x = 1,177.91

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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.