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Finding the Fourth Proportional to 2,169.49, 3,254.24 and 526.04

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Solution

The fourth proportional to 2,169.49, 3,254.24 and 526.04 is: 789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.49 : 3,254.24 = 526.04 : x
  2. Step 2: Convert to fraction form
    2,169.49/3,254.24 = 526.04/x
  3. Step 3: Cross multiply
    2,169.49x = 3,254.24 × 526.04
  4. Step 4: Simplify right side
    2,169.49x = 1,711,854.66
  5. Step 5: Solve for x
    x = 1,711,854.66/2,169.49
  6. Step 6: Final answer
    x = 789.06

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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.