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Finding the Fourth Proportional to 1,523.59, 2,102.31 and 860.36

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Solution

The fourth proportional to 1,523.59, 2,102.31 and 860.36 is: 1,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.59 : 2,102.31 = 860.36 : x
  2. Step 2: Convert to fraction form
    1,523.59/2,102.31 = 860.36/x
  3. Step 3: Cross multiply
    1,523.59x = 2,102.31 × 860.36
  4. Step 4: Simplify right side
    1,523.59x = 1,808,732.92
  5. Step 5: Solve for x
    x = 1,808,732.92/1,523.59
  6. Step 6: Final answer
    x = 1,187.15

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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.