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Finding the Fourth Proportional to 1,866.57, 2,575.68 and 1,027.31

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Solution

The fourth proportional to 1,866.57, 2,575.68 and 1,027.31 is: 1,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.57 : 2,575.68 = 1,027.31 : x
  2. Step 2: Convert to fraction form
    1,866.57/2,575.68 = 1,027.31/x
  3. Step 3: Cross multiply
    1,866.57x = 2,575.68 × 1,027.31
  4. Step 4: Simplify right side
    1,866.57x = 2,646,008.94
  5. Step 5: Solve for x
    x = 2,646,008.94/1,866.57
  6. Step 6: Final answer
    x = 1,417.58

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Why These Related Problems?

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