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Finding the Fourth Proportional to 2,154.06, 3,230.42 and 1,427.49

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Solution

The fourth proportional to 2,154.06, 3,230.42 and 1,427.49 is: 2,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.06 : 3,230.42 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    2,154.06/3,230.42 = 1,427.49/x
  3. Step 3: Cross multiply
    2,154.06x = 3,230.42 × 1,427.49
  4. Step 4: Simplify right side
    2,154.06x = 4,611,385.11
  5. Step 5: Solve for x
    x = 4,611,385.11/2,154.06
  6. Step 6: Final answer
    x = 2,140.79

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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.