Home / 1,523.25-2,102.39-860.11

Finding the Fourth Proportional to 1,523.25, 2,102.39 and 860.11

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Solution

The fourth proportional to 1,523.25, 2,102.39 and 860.11 is: 1,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.25 : 2,102.39 = 860.11 : x
  2. Step 2: Convert to fraction form
    1,523.25/2,102.39 = 860.11/x
  3. Step 3: Cross multiply
    1,523.25x = 2,102.39 × 860.11
  4. Step 4: Simplify right side
    1,523.25x = 1,808,286.66
  5. Step 5: Solve for x
    x = 1,808,286.66/1,523.25
  6. Step 6: Final answer
    x = 1,187.12

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Why These Related Problems?

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