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Finding the Fourth Proportional to 2,139.58, 2,949.10 and 1,431.18

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Solution

The fourth proportional to 2,139.58, 2,949.10 and 1,431.18 is: 1,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.58 : 2,949.10 = 1,431.18 : x
  2. Step 2: Convert to fraction form
    2,139.58/2,949.10 = 1,431.18/x
  3. Step 3: Cross multiply
    2,139.58x = 2,949.10 × 1,431.18
  4. Step 4: Simplify right side
    2,139.58x = 4,220,692.94
  5. Step 5: Solve for x
    x = 4,220,692.94/2,139.58
  6. Step 6: Final answer
    x = 1,972.67

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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.