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Finding the Fourth Proportional to 2,315.98, 3,472.36 and 1,204.71

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Solution

The fourth proportional to 2,315.98, 3,472.36 and 1,204.71 is: 1,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.98 : 3,472.36 = 1,204.71 : x
  2. Step 2: Convert to fraction form
    2,315.98/3,472.36 = 1,204.71/x
  3. Step 3: Cross multiply
    2,315.98x = 3,472.36 × 1,204.71
  4. Step 4: Simplify right side
    2,315.98x = 4,183,186.82
  5. Step 5: Solve for x
    x = 4,183,186.82/2,315.98
  6. Step 6: Final answer
    x = 1,806.23

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