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Finding the Fourth Proportional to 2,951.71, 4,426.19 and 1,102.33

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Solution

The fourth proportional to 2,951.71, 4,426.19 and 1,102.33 is: 1,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.71 : 4,426.19 = 1,102.33 : x
  2. Step 2: Convert to fraction form
    2,951.71/4,426.19 = 1,102.33/x
  3. Step 3: Cross multiply
    2,951.71x = 4,426.19 × 1,102.33
  4. Step 4: Simplify right side
    2,951.71x = 4,879,122.02
  5. Step 5: Solve for x
    x = 4,879,122.02/2,951.71
  6. Step 6: Final answer
    x = 1,652.98

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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.