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Finding the Fourth Proportional to 2,877.72, 4,314.42 and 1,767.48

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Solution

The fourth proportional to 2,877.72, 4,314.42 and 1,767.48 is: 2,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.72 : 4,314.42 = 1,767.48 : x
  2. Step 2: Convert to fraction form
    2,877.72/4,314.42 = 1,767.48/x
  3. Step 3: Cross multiply
    2,877.72x = 4,314.42 × 1,767.48
  4. Step 4: Simplify right side
    2,877.72x = 7,625,651.06
  5. Step 5: Solve for x
    x = 7,625,651.06/2,877.72
  6. Step 6: Final answer
    x = 2,649.89

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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.