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Finding the Fourth Proportional to 1,866.81, 2,575.35 and 1,268.57

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Solution

The fourth proportional to 1,866.81, 2,575.35 and 1,268.57 is: 1,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.81 : 2,575.35 = 1,268.57 : x
  2. Step 2: Convert to fraction form
    1,866.81/2,575.35 = 1,268.57/x
  3. Step 3: Cross multiply
    1,866.81x = 2,575.35 × 1,268.57
  4. Step 4: Simplify right side
    1,866.81x = 3,266,998.87
  5. Step 5: Solve for x
    x = 3,266,998.87/1,866.81
  6. Step 6: Final answer
    x = 1,750.04

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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.