Home / 1,524.64-2,288.28-1,003.16

Finding the Fourth Proportional to 1,524.64, 2,288.28 and 1,003.16

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Solution

The fourth proportional to 1,524.64, 2,288.28 and 1,003.16 is: 1,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.64 : 2,288.28 = 1,003.16 : x
  2. Step 2: Convert to fraction form
    1,524.64/2,288.28 = 1,003.16/x
  3. Step 3: Cross multiply
    1,524.64x = 2,288.28 × 1,003.16
  4. Step 4: Simplify right side
    1,524.64x = 2,295,510.96
  5. Step 5: Solve for x
    x = 2,295,510.96/1,524.64
  6. Step 6: Final answer
    x = 1,505.61

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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.