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Finding the Fourth Proportional to 2,158.50, 2,978.73 and 1,227

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Solution

The fourth proportional to 2,158.50, 2,978.73 and 1,227 is: 1,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.50 : 2,978.73 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,158.50/2,978.73 = 1,227/x
  3. Step 3: Cross multiply
    2,158.50x = 2,978.73 × 1,227
  4. Step 4: Simplify right side
    2,158.50x = 3,654,901.71
  5. Step 5: Solve for x
    x = 3,654,901.71/2,158.50
  6. Step 6: Final answer
    x = 1,693.26

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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.