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Finding the Fourth Proportional to 1,297.80, 1,947.69 and 952.05

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Solution

The fourth proportional to 1,297.80, 1,947.69 and 952.05 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.80 : 1,947.69 = 952.05 : x
  2. Step 2: Convert to fraction form
    1,297.80/1,947.69 = 952.05/x
  3. Step 3: Cross multiply
    1,297.80x = 1,947.69 × 952.05
  4. Step 4: Simplify right side
    1,297.80x = 1,854,298.26
  5. Step 5: Solve for x
    x = 1,854,298.26/1,297.80
  6. Step 6: Final answer
    x = 1,428.80

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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.