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Finding the Fourth Proportional to 1,785.40, 2,678.70 and 861.52

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Solution

The fourth proportional to 1,785.40, 2,678.70 and 861.52 is: 1,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.40 : 2,678.70 = 861.52 : x
  2. Step 2: Convert to fraction form
    1,785.40/2,678.70 = 861.52/x
  3. Step 3: Cross multiply
    1,785.40x = 2,678.70 × 861.52
  4. Step 4: Simplify right side
    1,785.40x = 2,307,753.62
  5. Step 5: Solve for x
    x = 2,307,753.62/1,785.40
  6. Step 6: Final answer
    x = 1,292.57

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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.