Home / 1,526.19-2,288.25-832.29

Finding the Fourth Proportional to 1,526.19, 2,288.25 and 832.29

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Solution

The fourth proportional to 1,526.19, 2,288.25 and 832.29 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.19 : 2,288.25 = 832.29 : x
  2. Step 2: Convert to fraction form
    1,526.19/2,288.25 = 832.29/x
  3. Step 3: Cross multiply
    1,526.19x = 2,288.25 × 832.29
  4. Step 4: Simplify right side
    1,526.19x = 1,904,487.59
  5. Step 5: Solve for x
    x = 1,904,487.59/1,526.19
  6. Step 6: Final answer
    x = 1,247.87

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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.