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Finding the Fourth Proportional to 3,254.75, 4,882.74 and 1,307.11

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Solution

The fourth proportional to 3,254.75, 4,882.74 and 1,307.11 is: 1,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.75 : 4,882.74 = 1,307.11 : x
  2. Step 2: Convert to fraction form
    3,254.75/4,882.74 = 1,307.11/x
  3. Step 3: Cross multiply
    3,254.75x = 4,882.74 × 1,307.11
  4. Step 4: Simplify right side
    3,254.75x = 6,382,278.28
  5. Step 5: Solve for x
    x = 6,382,278.28/3,254.75
  6. Step 6: Final answer
    x = 1,960.91

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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.