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Finding the Fourth Proportional to 2,169.86, 3,254.80 and 526.41

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Solution

The fourth proportional to 2,169.86, 3,254.80 and 526.41 is: 789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.86 : 3,254.80 = 526.41 : x
  2. Step 2: Convert to fraction form
    2,169.86/3,254.80 = 526.41/x
  3. Step 3: Cross multiply
    2,169.86x = 3,254.80 × 526.41
  4. Step 4: Simplify right side
    2,169.86x = 1,713,359.27
  5. Step 5: Solve for x
    x = 1,713,359.27/2,169.86
  6. Step 6: Final answer
    x = 789.62

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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.