Home / 2,426.12-3,637.96-964.47

Finding the Fourth Proportional to 2,426.12, 3,637.96 and 964.47

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Solution

The fourth proportional to 2,426.12, 3,637.96 and 964.47 is: 1,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.12 : 3,637.96 = 964.47 : x
  2. Step 2: Convert to fraction form
    2,426.12/3,637.96 = 964.47/x
  3. Step 3: Cross multiply
    2,426.12x = 3,637.96 × 964.47
  4. Step 4: Simplify right side
    2,426.12x = 3,508,719.94
  5. Step 5: Solve for x
    x = 3,508,719.94/2,426.12
  6. Step 6: Final answer
    x = 1,446.23

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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.