Home / 1,535.14-2,304.12-1,015.78

Finding the Fourth Proportional to 1,535.14, 2,304.12 and 1,015.78

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Solution

The fourth proportional to 1,535.14, 2,304.12 and 1,015.78 is: 1,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.14 : 2,304.12 = 1,015.78 : x
  2. Step 2: Convert to fraction form
    1,535.14/2,304.12 = 1,015.78/x
  3. Step 3: Cross multiply
    1,535.14x = 2,304.12 × 1,015.78
  4. Step 4: Simplify right side
    1,535.14x = 2,340,479.01
  5. Step 5: Solve for x
    x = 2,340,479.01/1,535.14
  6. Step 6: Final answer
    x = 1,524.60

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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.