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Finding the Fourth Proportional to 2,617.44, 3,925.85 and 974.01

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Solution

The fourth proportional to 2,617.44, 3,925.85 and 974.01 is: 1,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.44 : 3,925.85 = 974.01 : x
  2. Step 2: Convert to fraction form
    2,617.44/3,925.85 = 974.01/x
  3. Step 3: Cross multiply
    2,617.44x = 3,925.85 × 974.01
  4. Step 4: Simplify right side
    2,617.44x = 3,823,812.29
  5. Step 5: Solve for x
    x = 3,823,812.29/2,617.44
  6. Step 6: Final answer
    x = 1,460.90

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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.