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Finding the Fourth Proportional to 1,984.22, 2,737.94 and 1,133.49

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Solution

The fourth proportional to 1,984.22, 2,737.94 and 1,133.49 is: 1,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.22 : 2,737.94 = 1,133.49 : x
  2. Step 2: Convert to fraction form
    1,984.22/2,737.94 = 1,133.49/x
  3. Step 3: Cross multiply
    1,984.22x = 2,737.94 × 1,133.49
  4. Step 4: Simplify right side
    1,984.22x = 3,103,427.61
  5. Step 5: Solve for x
    x = 3,103,427.61/1,984.22
  6. Step 6: Final answer
    x = 1,564.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.