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Finding the Fourth Proportional to 2,158.50, 2,978.74 and 1,227.18

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Solution

The fourth proportional to 2,158.50, 2,978.74 and 1,227.18 is: 1,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.50 : 2,978.74 = 1,227.18 : x
  2. Step 2: Convert to fraction form
    2,158.50/2,978.74 = 1,227.18/x
  3. Step 3: Cross multiply
    2,158.50x = 2,978.74 × 1,227.18
  4. Step 4: Simplify right side
    2,158.50x = 3,655,450.15
  5. Step 5: Solve for x
    x = 3,655,450.15/2,158.50
  6. Step 6: Final answer
    x = 1,693.51

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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.