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Finding the Fourth Proportional to 2,651.13, 3,974.10 and 1,264.10

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Solution

The fourth proportional to 2,651.13, 3,974.10 and 1,264.10 is: 1,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.13 : 3,974.10 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    2,651.13/3,974.10 = 1,264.10/x
  3. Step 3: Cross multiply
    2,651.13x = 3,974.10 × 1,264.10
  4. Step 4: Simplify right side
    2,651.13x = 5,023,639.94
  5. Step 5: Solve for x
    x = 5,023,639.94/2,651.13
  6. Step 6: Final answer
    x = 1,894.91

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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.