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Finding the Fourth Proportional to 1,758.71, 2,427.42 and 1,086.82

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Solution

The fourth proportional to 1,758.71, 2,427.42 and 1,086.82 is: 1,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.71 : 2,427.42 = 1,086.82 : x
  2. Step 2: Convert to fraction form
    1,758.71/2,427.42 = 1,086.82/x
  3. Step 3: Cross multiply
    1,758.71x = 2,427.42 × 1,086.82
  4. Step 4: Simplify right side
    1,758.71x = 2,638,160.50
  5. Step 5: Solve for x
    x = 2,638,160.50/1,758.71
  6. Step 6: Final answer
    x = 1,500.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.