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Finding the Fourth Proportional to 1,424.88, 1,965.48 and 1,052.82

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Solution

The fourth proportional to 1,424.88, 1,965.48 and 1,052.82 is: 1,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.88 : 1,965.48 = 1,052.82 : x
  2. Step 2: Convert to fraction form
    1,424.88/1,965.48 = 1,052.82/x
  3. Step 3: Cross multiply
    1,424.88x = 1,965.48 × 1,052.82
  4. Step 4: Simplify right side
    1,424.88x = 2,069,296.65
  5. Step 5: Solve for x
    x = 2,069,296.65/1,424.88
  6. Step 6: Final answer
    x = 1,452.26

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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.