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Finding the Fourth Proportional to 2,244.95, 3,367.98 and 784.11

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Solution

The fourth proportional to 2,244.95, 3,367.98 and 784.11 is: 1,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.95 : 3,367.98 = 784.11 : x
  2. Step 2: Convert to fraction form
    2,244.95/3,367.98 = 784.11/x
  3. Step 3: Cross multiply
    2,244.95x = 3,367.98 × 784.11
  4. Step 4: Simplify right side
    2,244.95x = 2,640,866.80
  5. Step 5: Solve for x
    x = 2,640,866.80/2,244.95
  6. Step 6: Final answer
    x = 1,176.36

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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.