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Finding the Fourth Proportional to 2,753.14, 4,129.68 and 1,021.76

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Solution

The fourth proportional to 2,753.14, 4,129.68 and 1,021.76 is: 1,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.14 : 4,129.68 = 1,021.76 : x
  2. Step 2: Convert to fraction form
    2,753.14/4,129.68 = 1,021.76/x
  3. Step 3: Cross multiply
    2,753.14x = 4,129.68 × 1,021.76
  4. Step 4: Simplify right side
    2,753.14x = 4,219,541.84
  5. Step 5: Solve for x
    x = 4,219,541.84/2,753.14
  6. Step 6: Final answer
    x = 1,532.63

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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.