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Finding the Fourth Proportional to 2,384.82, 3,291.08 and 1,322.61

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Solution

The fourth proportional to 2,384.82, 3,291.08 and 1,322.61 is: 1,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.82 : 3,291.08 = 1,322.61 : x
  2. Step 2: Convert to fraction form
    2,384.82/3,291.08 = 1,322.61/x
  3. Step 3: Cross multiply
    2,384.82x = 3,291.08 × 1,322.61
  4. Step 4: Simplify right side
    2,384.82x = 4,352,801.32
  5. Step 5: Solve for x
    x = 4,352,801.32/2,384.82
  6. Step 6: Final answer
    x = 1,825.21

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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.