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Finding the Fourth Proportional to 2,486.58, 3,432.11 and 1,424.69

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Solution

The fourth proportional to 2,486.58, 3,432.11 and 1,424.69 is: 1,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.58 : 3,432.11 = 1,424.69 : x
  2. Step 2: Convert to fraction form
    2,486.58/3,432.11 = 1,424.69/x
  3. Step 3: Cross multiply
    2,486.58x = 3,432.11 × 1,424.69
  4. Step 4: Simplify right side
    2,486.58x = 4,889,692.80
  5. Step 5: Solve for x
    x = 4,889,692.80/2,486.58
  6. Step 6: Final answer
    x = 1,966.43

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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.