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Finding the Fourth Proportional to 1,780.83, 2,672.17 and 1,264.16

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Solution

The fourth proportional to 1,780.83, 2,672.17 and 1,264.16 is: 1,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.83 : 2,672.17 = 1,264.16 : x
  2. Step 2: Convert to fraction form
    1,780.83/2,672.17 = 1,264.16/x
  3. Step 3: Cross multiply
    1,780.83x = 2,672.17 × 1,264.16
  4. Step 4: Simplify right side
    1,780.83x = 3,378,033.91
  5. Step 5: Solve for x
    x = 3,378,033.91/1,780.83
  6. Step 6: Final answer
    x = 1,896.89

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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.