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Finding the Fourth Proportional to 1,424.76, 1,967.40 and 1,052.39

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Solution

The fourth proportional to 1,424.76, 1,967.40 and 1,052.39 is: 1,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.76 : 1,967.40 = 1,052.39 : x
  2. Step 2: Convert to fraction form
    1,424.76/1,967.40 = 1,052.39/x
  3. Step 3: Cross multiply
    1,424.76x = 1,967.40 × 1,052.39
  4. Step 4: Simplify right side
    1,424.76x = 2,070,462.25
  5. Step 5: Solve for x
    x = 2,070,462.25/1,424.76
  6. Step 6: Final answer
    x = 1,453.20

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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.