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Finding the Fourth Proportional to 2,974.29, 4,104.10 and 1,715.16

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Solution

The fourth proportional to 2,974.29, 4,104.10 and 1,715.16 is: 2,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.29 : 4,104.10 = 1,715.16 : x
  2. Step 2: Convert to fraction form
    2,974.29/4,104.10 = 1,715.16/x
  3. Step 3: Cross multiply
    2,974.29x = 4,104.10 × 1,715.16
  4. Step 4: Simplify right side
    2,974.29x = 7,039,188.16
  5. Step 5: Solve for x
    x = 7,039,188.16/2,974.29
  6. Step 6: Final answer
    x = 2,366.68

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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.