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Finding the Fourth Proportional to 1,866.28, 2,575.63 and 1,027.15

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Solution

The fourth proportional to 1,866.28, 2,575.63 and 1,027.15 is: 1,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.28 : 2,575.63 = 1,027.15 : x
  2. Step 2: Convert to fraction form
    1,866.28/2,575.63 = 1,027.15/x
  3. Step 3: Cross multiply
    1,866.28x = 2,575.63 × 1,027.15
  4. Step 4: Simplify right side
    1,866.28x = 2,645,558.35
  5. Step 5: Solve for x
    x = 2,645,558.35/1,866.28
  6. Step 6: Final answer
    x = 1,417.56

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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.