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Finding the Fourth Proportional to 1,304.71, 1,954.28 and 1,211.76

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Solution

The fourth proportional to 1,304.71, 1,954.28 and 1,211.76 is: 1,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.71 : 1,954.28 = 1,211.76 : x
  2. Step 2: Convert to fraction form
    1,304.71/1,954.28 = 1,211.76/x
  3. Step 3: Cross multiply
    1,304.71x = 1,954.28 × 1,211.76
  4. Step 4: Simplify right side
    1,304.71x = 2,368,121.36
  5. Step 5: Solve for x
    x = 2,368,121.36/1,304.71
  6. Step 6: Final answer
    x = 1,815.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.