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Finding the Fourth Proportional to 1,443.42, 1,988.80 and 1,402.41

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Solution

The fourth proportional to 1,443.42, 1,988.80 and 1,402.41 is: 1,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.42 : 1,988.80 = 1,402.41 : x
  2. Step 2: Convert to fraction form
    1,443.42/1,988.80 = 1,402.41/x
  3. Step 3: Cross multiply
    1,443.42x = 1,988.80 × 1,402.41
  4. Step 4: Simplify right side
    1,443.42x = 2,789,124.85
  5. Step 5: Solve for x
    x = 2,789,124.85/1,443.42
  6. Step 6: Final answer
    x = 1,932.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.