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Finding the Fourth Proportional to 2,633.41, 3,949.71 and 784.18

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Solution

The fourth proportional to 2,633.41, 3,949.71 and 784.18 is: 1,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.41 : 3,949.71 = 784.18 : x
  2. Step 2: Convert to fraction form
    2,633.41/3,949.71 = 784.18/x
  3. Step 3: Cross multiply
    2,633.41x = 3,949.71 × 784.18
  4. Step 4: Simplify right side
    2,633.41x = 3,097,283.59
  5. Step 5: Solve for x
    x = 3,097,283.59/2,633.41
  6. Step 6: Final answer
    x = 1,176.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.