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Finding the Fourth Proportional to 1,523.94, 2,103.13 and 860.55

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Solution

The fourth proportional to 1,523.94, 2,103.13 and 860.55 is: 1,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.94 : 2,103.13 = 860.55 : x
  2. Step 2: Convert to fraction form
    1,523.94/2,103.13 = 860.55/x
  3. Step 3: Cross multiply
    1,523.94x = 2,103.13 × 860.55
  4. Step 4: Simplify right side
    1,523.94x = 1,809,848.52
  5. Step 5: Solve for x
    x = 1,809,848.52/1,523.94
  6. Step 6: Final answer
    x = 1,187.61

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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.