Home / 1,524.10-2,103.28-825.48

Finding the Fourth Proportional to 1,524.10, 2,103.28 and 825.48

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Solution

The fourth proportional to 1,524.10, 2,103.28 and 825.48 is: 1,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.10 : 2,103.28 = 825.48 : x
  2. Step 2: Convert to fraction form
    1,524.10/2,103.28 = 825.48/x
  3. Step 3: Cross multiply
    1,524.10x = 2,103.28 × 825.48
  4. Step 4: Simplify right side
    1,524.10x = 1,736,215.57
  5. Step 5: Solve for x
    x = 1,736,215.57/1,524.10
  6. Step 6: Final answer
    x = 1,139.17

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