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Finding the Fourth Proportional to 2,244.36, 3,367.08 and 783.53

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Solution

The fourth proportional to 2,244.36, 3,367.08 and 783.53 is: 1,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.36 : 3,367.08 = 783.53 : x
  2. Step 2: Convert to fraction form
    2,244.36/3,367.08 = 783.53/x
  3. Step 3: Cross multiply
    2,244.36x = 3,367.08 × 783.53
  4. Step 4: Simplify right side
    2,244.36x = 2,638,191.36
  5. Step 5: Solve for x
    x = 2,638,191.36/2,244.36
  6. Step 6: Final answer
    x = 1,175.48

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Why These Related Problems?

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