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Finding the Fourth Proportional to 2,472.06, 3,707.67 and 912

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Solution

The fourth proportional to 2,472.06, 3,707.67 and 912 is: 1,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.06 : 3,707.67 = 912 : x
  2. Step 2: Convert to fraction form
    2,472.06/3,707.67 = 912/x
  3. Step 3: Cross multiply
    2,472.06x = 3,707.67 × 912
  4. Step 4: Simplify right side
    2,472.06x = 3,381,395.04
  5. Step 5: Solve for x
    x = 3,381,395.04/2,472.06
  6. Step 6: Final answer
    x = 1,367.85

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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.