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Finding the Fourth Proportional to 2,378.69, 3,282.77 and 1,330.69

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Solution

The fourth proportional to 2,378.69, 3,282.77 and 1,330.69 is: 1,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.69 : 3,282.77 = 1,330.69 : x
  2. Step 2: Convert to fraction form
    2,378.69/3,282.77 = 1,330.69/x
  3. Step 3: Cross multiply
    2,378.69x = 3,282.77 × 1,330.69
  4. Step 4: Simplify right side
    2,378.69x = 4,368,326.14
  5. Step 5: Solve for x
    x = 4,368,326.14/2,378.69
  6. Step 6: Final answer
    x = 1,836.44

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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.