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Finding the Fourth Proportional to 1,789.56, 2,681.86 and 1,292

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Solution

The fourth proportional to 1,789.56, 2,681.86 and 1,292 is: 1,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.56 : 2,681.86 = 1,292 : x
  2. Step 2: Convert to fraction form
    1,789.56/2,681.86 = 1,292/x
  3. Step 3: Cross multiply
    1,789.56x = 2,681.86 × 1,292
  4. Step 4: Simplify right side
    1,789.56x = 3,464,963.12
  5. Step 5: Solve for x
    x = 3,464,963.12/1,789.56
  6. Step 6: Final answer
    x = 1,936.21

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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.