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Finding the Fourth Proportional to 2,772.50, 4,159.42 and 2,466.65

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Solution

The fourth proportional to 2,772.50, 4,159.42 and 2,466.65 is: 3,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.50 : 4,159.42 = 2,466.65 : x
  2. Step 2: Convert to fraction form
    2,772.50/4,159.42 = 2,466.65/x
  3. Step 3: Cross multiply
    2,772.50x = 4,159.42 × 2,466.65
  4. Step 4: Simplify right side
    2,772.50x = 10,259,837.57
  5. Step 5: Solve for x
    x = 10,259,837.57/2,772.50
  6. Step 6: Final answer
    x = 3,700.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.