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Finding the Fourth Proportional to 2,472.71, 3,709.06 and 741.33

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Solution

The fourth proportional to 2,472.71, 3,709.06 and 741.33 is: 1,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.71 : 3,709.06 = 741.33 : x
  2. Step 2: Convert to fraction form
    2,472.71/3,709.06 = 741.33/x
  3. Step 3: Cross multiply
    2,472.71x = 3,709.06 × 741.33
  4. Step 4: Simplify right side
    2,472.71x = 2,749,633.74
  5. Step 5: Solve for x
    x = 2,749,633.74/2,472.71
  6. Step 6: Final answer
    x = 1,111.99

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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.