Home / 1,304.11-1,956.23-961.48

Finding the Fourth Proportional to 1,304.11, 1,956.23 and 961.48

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Solution

The fourth proportional to 1,304.11, 1,956.23 and 961.48 is: 1,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.11 : 1,956.23 = 961.48 : x
  2. Step 2: Convert to fraction form
    1,304.11/1,956.23 = 961.48/x
  3. Step 3: Cross multiply
    1,304.11x = 1,956.23 × 961.48
  4. Step 4: Simplify right side
    1,304.11x = 1,880,873.53
  5. Step 5: Solve for x
    x = 1,880,873.53/1,304.11
  6. Step 6: Final answer
    x = 1,442.27

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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.