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Finding the Fourth Proportional to 2,472.53, 3,710.26 and 913.64

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Solution

The fourth proportional to 2,472.53, 3,710.26 and 913.64 is: 1,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.53 : 3,710.26 = 913.64 : x
  2. Step 2: Convert to fraction form
    2,472.53/3,710.26 = 913.64/x
  3. Step 3: Cross multiply
    2,472.53x = 3,710.26 × 913.64
  4. Step 4: Simplify right side
    2,472.53x = 3,389,839.66
  5. Step 5: Solve for x
    x = 3,389,839.66/2,472.53
  6. Step 6: Final answer
    x = 1,371.00

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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.