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Finding the Fourth Proportional to 2,592, 3,575.52 and 2,370.96

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Solution

The fourth proportional to 2,592, 3,575.52 and 2,370.96 is: 3,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592 : 3,575.52 = 2,370.96 : x
  2. Step 2: Convert to fraction form
    2,592/3,575.52 = 2,370.96/x
  3. Step 3: Cross multiply
    2,592x = 3,575.52 × 2,370.96
  4. Step 4: Simplify right side
    2,592x = 8,477,414.90
  5. Step 5: Solve for x
    x = 8,477,414.90/2,592
  6. Step 6: Final answer
    x = 3,270.61

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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.