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Finding the Fourth Proportional to 1,866.68, 2,575.88 and 1,027.40

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Solution

The fourth proportional to 1,866.68, 2,575.88 and 1,027.40 is: 1,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.68 : 2,575.88 = 1,027.40 : x
  2. Step 2: Convert to fraction form
    1,866.68/2,575.88 = 1,027.40/x
  3. Step 3: Cross multiply
    1,866.68x = 2,575.88 × 1,027.40
  4. Step 4: Simplify right side
    1,866.68x = 2,646,459.11
  5. Step 5: Solve for x
    x = 2,646,459.11/1,866.68
  6. Step 6: Final answer
    x = 1,417.74

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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.