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Finding the Fourth Proportional to 2,103.76, 3,156.96 and 1,453.28

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Solution

The fourth proportional to 2,103.76, 3,156.96 and 1,453.28 is: 2,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.76 : 3,156.96 = 1,453.28 : x
  2. Step 2: Convert to fraction form
    2,103.76/3,156.96 = 1,453.28/x
  3. Step 3: Cross multiply
    2,103.76x = 3,156.96 × 1,453.28
  4. Step 4: Simplify right side
    2,103.76x = 4,587,946.83
  5. Step 5: Solve for x
    x = 4,587,946.83/2,103.76
  6. Step 6: Final answer
    x = 2,180.83

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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.