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Finding the Fourth Proportional to 2,877.76, 4,294.16 and 2,765.44

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Solution

The fourth proportional to 2,877.76, 4,294.16 and 2,765.44 is: 4,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.76 : 4,294.16 = 2,765.44 : x
  2. Step 2: Convert to fraction form
    2,877.76/4,294.16 = 2,765.44/x
  3. Step 3: Cross multiply
    2,877.76x = 4,294.16 × 2,765.44
  4. Step 4: Simplify right side
    2,877.76x = 11,875,241.83
  5. Step 5: Solve for x
    x = 11,875,241.83/2,877.76
  6. Step 6: Final answer
    x = 4,126.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.