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Finding the Fourth Proportional to 2,858.52, 4,286.65 and 1,102.55

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Solution

The fourth proportional to 2,858.52, 4,286.65 and 1,102.55 is: 1,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.52 : 4,286.65 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    2,858.52/4,286.65 = 1,102.55/x
  3. Step 3: Cross multiply
    2,858.52x = 4,286.65 × 1,102.55
  4. Step 4: Simplify right side
    2,858.52x = 4,726,245.96
  5. Step 5: Solve for x
    x = 4,726,245.96/2,858.52
  6. Step 6: Final answer
    x = 1,653.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.