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Finding the Fourth Proportional to 1,182.84, 1,775.12 and 1,111.12

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Solution

The fourth proportional to 1,182.84, 1,775.12 and 1,111.12 is: 1,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.84 : 1,775.12 = 1,111.12 : x
  2. Step 2: Convert to fraction form
    1,182.84/1,775.12 = 1,111.12/x
  3. Step 3: Cross multiply
    1,182.84x = 1,775.12 × 1,111.12
  4. Step 4: Simplify right side
    1,182.84x = 1,972,371.33
  5. Step 5: Solve for x
    x = 1,972,371.33/1,182.84
  6. Step 6: Final answer
    x = 1,667.49

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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.