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Finding the Fourth Proportional to 2,162.84, 3,246.21 and 1,342.71

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Solution

The fourth proportional to 2,162.84, 3,246.21 and 1,342.71 is: 2,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.84 : 3,246.21 = 1,342.71 : x
  2. Step 2: Convert to fraction form
    2,162.84/3,246.21 = 1,342.71/x
  3. Step 3: Cross multiply
    2,162.84x = 3,246.21 × 1,342.71
  4. Step 4: Simplify right side
    2,162.84x = 4,358,718.63
  5. Step 5: Solve for x
    x = 4,358,718.63/2,162.84
  6. Step 6: Final answer
    x = 2,015.28

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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.