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Finding the Fourth Proportional to 2,391.52, 3,588 and 2,027.20

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Solution

The fourth proportional to 2,391.52, 3,588 and 2,027.20 is: 3,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.52 : 3,588 = 2,027.20 : x
  2. Step 2: Convert to fraction form
    2,391.52/3,588 = 2,027.20/x
  3. Step 3: Cross multiply
    2,391.52x = 3,588 × 2,027.20
  4. Step 4: Simplify right side
    2,391.52x = 7,273,593.60
  5. Step 5: Solve for x
    x = 7,273,593.60/2,391.52
  6. Step 6: Final answer
    x = 3,041.41

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Why These Related Problems?

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