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Finding the Fourth Proportional to 2,445.69, 3,375.50 and 1,596

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Solution

The fourth proportional to 2,445.69, 3,375.50 and 1,596 is: 2,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.69 : 3,375.50 = 1,596 : x
  2. Step 2: Convert to fraction form
    2,445.69/3,375.50 = 1,596/x
  3. Step 3: Cross multiply
    2,445.69x = 3,375.50 × 1,596
  4. Step 4: Simplify right side
    2,445.69x = 5,387,290.02
  5. Step 5: Solve for x
    x = 5,387,290.02/2,445.69
  6. Step 6: Final answer
    x = 2,202.77

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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.