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Finding the Fourth Proportional to 2,514.80, 3,773.34 and 1,054.28

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Solution

The fourth proportional to 2,514.80, 3,773.34 and 1,054.28 is: 1,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.80 : 3,773.34 = 1,054.28 : x
  2. Step 2: Convert to fraction form
    2,514.80/3,773.34 = 1,054.28/x
  3. Step 3: Cross multiply
    2,514.80x = 3,773.34 × 1,054.28
  4. Step 4: Simplify right side
    2,514.80x = 3,978,156.90
  5. Step 5: Solve for x
    x = 3,978,156.90/2,514.80
  6. Step 6: Final answer
    x = 1,581.90

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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.