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Finding the Fourth Proportional to 2,543.54, 3,511.36 and 2,407.88

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Solution

The fourth proportional to 2,543.54, 3,511.36 and 2,407.88 is: 3,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.54 : 3,511.36 = 2,407.88 : x
  2. Step 2: Convert to fraction form
    2,543.54/3,511.36 = 2,407.88/x
  3. Step 3: Cross multiply
    2,543.54x = 3,511.36 × 2,407.88
  4. Step 4: Simplify right side
    2,543.54x = 8,454,933.52
  5. Step 5: Solve for x
    x = 8,454,933.52/2,543.54
  6. Step 6: Final answer
    x = 3,324.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.