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Finding the Fourth Proportional to 2,171.17, 2,995.68 and 1,320.84

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Solution

The fourth proportional to 2,171.17, 2,995.68 and 1,320.84 is: 1,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.17 : 2,995.68 = 1,320.84 : x
  2. Step 2: Convert to fraction form
    2,171.17/2,995.68 = 1,320.84/x
  3. Step 3: Cross multiply
    2,171.17x = 2,995.68 × 1,320.84
  4. Step 4: Simplify right side
    2,171.17x = 3,956,818.92
  5. Step 5: Solve for x
    x = 3,956,818.92/2,171.17
  6. Step 6: Final answer
    x = 1,822.44

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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.