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Finding the Fourth Proportional to 1,778.85, 2,454.46 and 1,514.28

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Solution

The fourth proportional to 1,778.85, 2,454.46 and 1,514.28 is: 2,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.85 : 2,454.46 = 1,514.28 : x
  2. Step 2: Convert to fraction form
    1,778.85/2,454.46 = 1,514.28/x
  3. Step 3: Cross multiply
    1,778.85x = 2,454.46 × 1,514.28
  4. Step 4: Simplify right side
    1,778.85x = 3,716,739.69
  5. Step 5: Solve for x
    x = 3,716,739.69/1,778.85
  6. Step 6: Final answer
    x = 2,089.41

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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.