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Finding the Fourth Proportional to 2,384.65, 3,290.81 and 1,322.58

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Solution

The fourth proportional to 2,384.65, 3,290.81 and 1,322.58 is: 1,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.65 : 3,290.81 = 1,322.58 : x
  2. Step 2: Convert to fraction form
    2,384.65/3,290.81 = 1,322.58/x
  3. Step 3: Cross multiply
    2,384.65x = 3,290.81 × 1,322.58
  4. Step 4: Simplify right side
    2,384.65x = 4,352,359.49
  5. Step 5: Solve for x
    x = 4,352,359.49/2,384.65
  6. Step 6: Final answer
    x = 1,825.16

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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.