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Finding the Fourth Proportional to 2,886.46, 4,328.97 and 939.22

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Solution

The fourth proportional to 2,886.46, 4,328.97 and 939.22 is: 1,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.46 : 4,328.97 = 939.22 : x
  2. Step 2: Convert to fraction form
    2,886.46/4,328.97 = 939.22/x
  3. Step 3: Cross multiply
    2,886.46x = 4,328.97 × 939.22
  4. Step 4: Simplify right side
    2,886.46x = 4,065,855.20
  5. Step 5: Solve for x
    x = 4,065,855.20/2,886.46
  6. Step 6: Final answer
    x = 1,408.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.