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Finding the Fourth Proportional to 2,877.72, 3,969.91 and 1,815

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Solution

The fourth proportional to 2,877.72, 3,969.91 and 1,815 is: 2,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.72 : 3,969.91 = 1,815 : x
  2. Step 2: Convert to fraction form
    2,877.72/3,969.91 = 1,815/x
  3. Step 3: Cross multiply
    2,877.72x = 3,969.91 × 1,815
  4. Step 4: Simplify right side
    2,877.72x = 7,205,386.65
  5. Step 5: Solve for x
    x = 7,205,386.65/2,877.72
  6. Step 6: Final answer
    x = 2,503.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.