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Finding the Fourth Proportional to 1,523.28, 2,102.08 and 860.12

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Solution

The fourth proportional to 1,523.28, 2,102.08 and 860.12 is: 1,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.28 : 2,102.08 = 860.12 : x
  2. Step 2: Convert to fraction form
    1,523.28/2,102.08 = 860.12/x
  3. Step 3: Cross multiply
    1,523.28x = 2,102.08 × 860.12
  4. Step 4: Simplify right side
    1,523.28x = 1,808,041.05
  5. Step 5: Solve for x
    x = 1,808,041.05/1,523.28
  6. Step 6: Final answer
    x = 1,186.94

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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.