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Finding the Fourth Proportional to 3,437.52, 5,148.99 and 1,969.80

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Solution

The fourth proportional to 3,437.52, 5,148.99 and 1,969.80 is: 2,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.52 : 5,148.99 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    3,437.52/5,148.99 = 1,969.80/x
  3. Step 3: Cross multiply
    3,437.52x = 5,148.99 × 1,969.80
  4. Step 4: Simplify right side
    3,437.52x = 10,142,480.50
  5. Step 5: Solve for x
    x = 10,142,480.50/3,437.52
  6. Step 6: Final answer
    x = 2,950.52

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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.