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Finding the Fourth Proportional to 2,477.25, 3,711.24 and 1,243.22

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Solution

The fourth proportional to 2,477.25, 3,711.24 and 1,243.22 is: 1,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.25 : 3,711.24 = 1,243.22 : x
  2. Step 2: Convert to fraction form
    2,477.25/3,711.24 = 1,243.22/x
  3. Step 3: Cross multiply
    2,477.25x = 3,711.24 × 1,243.22
  4. Step 4: Simplify right side
    2,477.25x = 4,613,869.24
  5. Step 5: Solve for x
    x = 4,613,869.24/2,477.25
  6. Step 6: Final answer
    x = 1,862.50

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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.