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Finding the Fourth Proportional to 2,378.65, 3,282.56 and 1,384.51

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Solution

The fourth proportional to 2,378.65, 3,282.56 and 1,384.51 is: 1,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.65 : 3,282.56 = 1,384.51 : x
  2. Step 2: Convert to fraction form
    2,378.65/3,282.56 = 1,384.51/x
  3. Step 3: Cross multiply
    2,378.65x = 3,282.56 × 1,384.51
  4. Step 4: Simplify right side
    2,378.65x = 4,544,713.81
  5. Step 5: Solve for x
    x = 4,544,713.81/2,378.65
  6. Step 6: Final answer
    x = 1,910.63

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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.