Home / 1,524.32-2,288.48-975.04

Finding the Fourth Proportional to 1,524.32, 2,288.48 and 975.04

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Solution

The fourth proportional to 1,524.32, 2,288.48 and 975.04 is: 1,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.32 : 2,288.48 = 975.04 : x
  2. Step 2: Convert to fraction form
    1,524.32/2,288.48 = 975.04/x
  3. Step 3: Cross multiply
    1,524.32x = 2,288.48 × 975.04
  4. Step 4: Simplify right side
    1,524.32x = 2,231,359.54
  5. Step 5: Solve for x
    x = 2,231,359.54/1,524.32
  6. Step 6: Final answer
    x = 1,463.84

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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.