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Finding the Fourth Proportional to 1,523.74, 2,102.75 and 860.58

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Solution

The fourth proportional to 1,523.74, 2,102.75 and 860.58 is: 1,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.74 : 2,102.75 = 860.58 : x
  2. Step 2: Convert to fraction form
    1,523.74/2,102.75 = 860.58/x
  3. Step 3: Cross multiply
    1,523.74x = 2,102.75 × 860.58
  4. Step 4: Simplify right side
    1,523.74x = 1,809,584.60
  5. Step 5: Solve for x
    x = 1,809,584.60/1,523.74
  6. Step 6: Final answer
    x = 1,187.59

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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.