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Finding the Fourth Proportional to 2,882.88, 4,303.56 and 2,445.60

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Solution

The fourth proportional to 2,882.88, 4,303.56 and 2,445.60 is: 3,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.88 : 4,303.56 = 2,445.60 : x
  2. Step 2: Convert to fraction form
    2,882.88/4,303.56 = 2,445.60/x
  3. Step 3: Cross multiply
    2,882.88x = 4,303.56 × 2,445.60
  4. Step 4: Simplify right side
    2,882.88x = 10,524,786.34
  5. Step 5: Solve for x
    x = 10,524,786.34/2,882.88
  6. Step 6: Final answer
    x = 3,650.79

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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.