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Finding the Fourth Proportional to 2,511.68, 3,749.24 and 2,306.24

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Solution

The fourth proportional to 2,511.68, 3,749.24 and 2,306.24 is: 3,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.68 : 3,749.24 = 2,306.24 : x
  2. Step 2: Convert to fraction form
    2,511.68/3,749.24 = 2,306.24/x
  3. Step 3: Cross multiply
    2,511.68x = 3,749.24 × 2,306.24
  4. Step 4: Simplify right side
    2,511.68x = 8,646,647.26
  5. Step 5: Solve for x
    x = 8,646,647.26/2,511.68
  6. Step 6: Final answer
    x = 3,442.58

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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.