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Finding the Fourth Proportional to 2,617.99, 3,926.98 and 974.32

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Solution

The fourth proportional to 2,617.99, 3,926.98 and 974.32 is: 1,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.99 : 3,926.98 = 974.32 : x
  2. Step 2: Convert to fraction form
    2,617.99/3,926.98 = 974.32/x
  3. Step 3: Cross multiply
    2,617.99x = 3,926.98 × 974.32
  4. Step 4: Simplify right side
    2,617.99x = 3,826,135.15
  5. Step 5: Solve for x
    x = 3,826,135.15/2,617.99
  6. Step 6: Final answer
    x = 1,461.48

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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.