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Finding the Fourth Proportional to 2,514.43, 3,767.80 and 1,052.79

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Solution

The fourth proportional to 2,514.43, 3,767.80 and 1,052.79 is: 1,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.43 : 3,767.80 = 1,052.79 : x
  2. Step 2: Convert to fraction form
    2,514.43/3,767.80 = 1,052.79/x
  3. Step 3: Cross multiply
    2,514.43x = 3,767.80 × 1,052.79
  4. Step 4: Simplify right side
    2,514.43x = 3,966,702.16
  5. Step 5: Solve for x
    x = 3,966,702.16/2,514.43
  6. Step 6: Final answer
    x = 1,577.58

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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.