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Finding the Fourth Proportional to 2,458.88, 3,687.60 and 2,024.96

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Solution

The fourth proportional to 2,458.88, 3,687.60 and 2,024.96 is: 3,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.88 : 3,687.60 = 2,024.96 : x
  2. Step 2: Convert to fraction form
    2,458.88/3,687.60 = 2,024.96/x
  3. Step 3: Cross multiply
    2,458.88x = 3,687.60 × 2,024.96
  4. Step 4: Simplify right side
    2,458.88x = 7,467,242.50
  5. Step 5: Solve for x
    x = 7,467,242.50/2,458.88
  6. Step 6: Final answer
    x = 3,036.85

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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.