Home / 1,524.23-2,103.17-861.07

Finding the Fourth Proportional to 1,524.23, 2,103.17 and 861.07

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Solution

The fourth proportional to 1,524.23, 2,103.17 and 861.07 is: 1,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.23 : 2,103.17 = 861.07 : x
  2. Step 2: Convert to fraction form
    1,524.23/2,103.17 = 861.07/x
  3. Step 3: Cross multiply
    1,524.23x = 2,103.17 × 861.07
  4. Step 4: Simplify right side
    1,524.23x = 1,810,973.49
  5. Step 5: Solve for x
    x = 1,810,973.49/1,524.23
  6. Step 6: Final answer
    x = 1,188.12

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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.