Home / 1,524.18-2,103.37-825.55

Finding the Fourth Proportional to 1,524.18, 2,103.37 and 825.55

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Solution

The fourth proportional to 1,524.18, 2,103.37 and 825.55 is: 1,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.18 : 2,103.37 = 825.55 : x
  2. Step 2: Convert to fraction form
    1,524.18/2,103.37 = 825.55/x
  3. Step 3: Cross multiply
    1,524.18x = 2,103.37 × 825.55
  4. Step 4: Simplify right side
    1,524.18x = 1,736,437.10
  5. Step 5: Solve for x
    x = 1,736,437.10/1,524.18
  6. Step 6: Final answer
    x = 1,139.26

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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.