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Finding the Fourth Proportional to 2,332.65, 3,218.94 and 1,284.69

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Solution

The fourth proportional to 2,332.65, 3,218.94 and 1,284.69 is: 1,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.65 : 3,218.94 = 1,284.69 : x
  2. Step 2: Convert to fraction form
    2,332.65/3,218.94 = 1,284.69/x
  3. Step 3: Cross multiply
    2,332.65x = 3,218.94 × 1,284.69
  4. Step 4: Simplify right side
    2,332.65x = 4,135,340.03
  5. Step 5: Solve for x
    x = 4,135,340.03/2,332.65
  6. Step 6: Final answer
    x = 1,772.81

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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.