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Finding the Fourth Proportional to 1,785.57, 2,678.95 and 861.00

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Solution

The fourth proportional to 1,785.57, 2,678.95 and 861.00 is: 1,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.57 : 2,678.95 = 861.00 : x
  2. Step 2: Convert to fraction form
    1,785.57/2,678.95 = 861.00/x
  3. Step 3: Cross multiply
    1,785.57x = 2,678.95 × 861.00
  4. Step 4: Simplify right side
    1,785.57x = 2,306,581.56
  5. Step 5: Solve for x
    x = 2,306,581.56/1,785.57
  6. Step 6: Final answer
    x = 1,291.79

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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.