Home / 1,760.24-2,429.04-974.28

Finding the Fourth Proportional to 1,760.24, 2,429.04 and 974.28

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Solution

The fourth proportional to 1,760.24, 2,429.04 and 974.28 is: 1,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.24 : 2,429.04 = 974.28 : x
  2. Step 2: Convert to fraction form
    1,760.24/2,429.04 = 974.28/x
  3. Step 3: Cross multiply
    1,760.24x = 2,429.04 × 974.28
  4. Step 4: Simplify right side
    1,760.24x = 2,366,565.09
  5. Step 5: Solve for x
    x = 2,366,565.09/1,760.24
  6. Step 6: Final answer
    x = 1,344.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.