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Finding the Fourth Proportional to 2,377.13, 3,552.11 and 1,811.16

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Solution

The fourth proportional to 2,377.13, 3,552.11 and 1,811.16 is: 2,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.13 : 3,552.11 = 1,811.16 : x
  2. Step 2: Convert to fraction form
    2,377.13/3,552.11 = 1,811.16/x
  3. Step 3: Cross multiply
    2,377.13x = 3,552.11 × 1,811.16
  4. Step 4: Simplify right side
    2,377.13x = 6,433,418.90
  5. Step 5: Solve for x
    x = 6,433,418.90/2,377.13
  6. Step 6: Final answer
    x = 2,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.