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Finding the Fourth Proportional to 1,775.86, 2,659.49 and 1,514.36

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Solution

The fourth proportional to 1,775.86, 2,659.49 and 1,514.36 is: 2,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.86 : 2,659.49 = 1,514.36 : x
  2. Step 2: Convert to fraction form
    1,775.86/2,659.49 = 1,514.36/x
  3. Step 3: Cross multiply
    1,775.86x = 2,659.49 × 1,514.36
  4. Step 4: Simplify right side
    1,775.86x = 4,027,417.70
  5. Step 5: Solve for x
    x = 4,027,417.70/1,775.86
  6. Step 6: Final answer
    x = 2,267.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.