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Finding the Fourth Proportional to 2,161.76, 2,983.28 and 1,230.24

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Solution

The fourth proportional to 2,161.76, 2,983.28 and 1,230.24 is: 1,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.76 : 2,983.28 = 1,230.24 : x
  2. Step 2: Convert to fraction form
    2,161.76/2,983.28 = 1,230.24/x
  3. Step 3: Cross multiply
    2,161.76x = 2,983.28 × 1,230.24
  4. Step 4: Simplify right side
    2,161.76x = 3,670,150.39
  5. Step 5: Solve for x
    x = 3,670,150.39/2,161.76
  6. Step 6: Final answer
    x = 1,697.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.