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Finding the Fourth Proportional to 1,866.46, 2,575.71 and 1,027.16

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Solution

The fourth proportional to 1,866.46, 2,575.71 and 1,027.16 is: 1,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.46 : 2,575.71 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    1,866.46/2,575.71 = 1,027.16/x
  3. Step 3: Cross multiply
    1,866.46x = 2,575.71 × 1,027.16
  4. Step 4: Simplify right side
    1,866.46x = 2,645,677.22
  5. Step 5: Solve for x
    x = 2,645,677.22/1,866.46
  6. Step 6: Final answer
    x = 1,417.48

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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.