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Finding the Fourth Proportional to 1,523.68, 2,102.78 and 860.58

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Solution

The fourth proportional to 1,523.68, 2,102.78 and 860.58 is: 1,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.68 : 2,102.78 = 860.58 : x
  2. Step 2: Convert to fraction form
    1,523.68/2,102.78 = 860.58/x
  3. Step 3: Cross multiply
    1,523.68x = 2,102.78 × 860.58
  4. Step 4: Simplify right side
    1,523.68x = 1,809,610.41
  5. Step 5: Solve for x
    x = 1,809,610.41/1,523.68
  6. Step 6: Final answer
    x = 1,187.66

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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.