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Finding the Fourth Proportional to 2,877.69, 4,307.24 and 1,489.11

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Solution

The fourth proportional to 2,877.69, 4,307.24 and 1,489.11 is: 2,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.69 : 4,307.24 = 1,489.11 : x
  2. Step 2: Convert to fraction form
    2,877.69/4,307.24 = 1,489.11/x
  3. Step 3: Cross multiply
    2,877.69x = 4,307.24 × 1,489.11
  4. Step 4: Simplify right side
    2,877.69x = 6,413,968.65
  5. Step 5: Solve for x
    x = 6,413,968.65/2,877.69
  6. Step 6: Final answer
    x = 2,228.86

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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.