Home / 1,548.33-2,323.62-964.18

Finding the Fourth Proportional to 1,548.33, 2,323.62 and 964.18

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Solution

The fourth proportional to 1,548.33, 2,323.62 and 964.18 is: 1,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.33 : 2,323.62 = 964.18 : x
  2. Step 2: Convert to fraction form
    1,548.33/2,323.62 = 964.18/x
  3. Step 3: Cross multiply
    1,548.33x = 2,323.62 × 964.18
  4. Step 4: Simplify right side
    1,548.33x = 2,240,387.93
  5. Step 5: Solve for x
    x = 2,240,387.93/1,548.33
  6. Step 6: Final answer
    x = 1,446.97

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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.