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Finding the Fourth Proportional to 2,618.39, 3,927.27 and 974.75

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Solution

The fourth proportional to 2,618.39, 3,927.27 and 974.75 is: 1,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.39 : 3,927.27 = 974.75 : x
  2. Step 2: Convert to fraction form
    2,618.39/3,927.27 = 974.75/x
  3. Step 3: Cross multiply
    2,618.39x = 3,927.27 × 974.75
  4. Step 4: Simplify right side
    2,618.39x = 3,828,086.80
  5. Step 5: Solve for x
    x = 3,828,086.80/2,618.39
  6. Step 6: Final answer
    x = 1,462.00

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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.