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Finding the Fourth Proportional to 2,877.85, 4,316.31 and 1,028.65

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Solution

The fourth proportional to 2,877.85, 4,316.31 and 1,028.65 is: 1,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.85 : 4,316.31 = 1,028.65 : x
  2. Step 2: Convert to fraction form
    2,877.85/4,316.31 = 1,028.65/x
  3. Step 3: Cross multiply
    2,877.85x = 4,316.31 × 1,028.65
  4. Step 4: Simplify right side
    2,877.85x = 4,439,972.28
  5. Step 5: Solve for x
    x = 4,439,972.28/2,877.85
  6. Step 6: Final answer
    x = 1,542.81

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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.