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Finding the Fourth Proportional to 2,833.76, 4,251.18 and 1,102.26

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Solution

The fourth proportional to 2,833.76, 4,251.18 and 1,102.26 is: 1,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.76 : 4,251.18 = 1,102.26 : x
  2. Step 2: Convert to fraction form
    2,833.76/4,251.18 = 1,102.26/x
  3. Step 3: Cross multiply
    2,833.76x = 4,251.18 × 1,102.26
  4. Step 4: Simplify right side
    2,833.76x = 4,685,905.67
  5. Step 5: Solve for x
    x = 4,685,905.67/2,833.76
  6. Step 6: Final answer
    x = 1,653.60

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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.