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Finding the Fourth Proportional to 2,822.60, 4,233.90 and 1,091

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Solution

The fourth proportional to 2,822.60, 4,233.90 and 1,091 is: 1,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.60 : 4,233.90 = 1,091 : x
  2. Step 2: Convert to fraction form
    2,822.60/4,233.90 = 1,091/x
  3. Step 3: Cross multiply
    2,822.60x = 4,233.90 × 1,091
  4. Step 4: Simplify right side
    2,822.60x = 4,619,184.90
  5. Step 5: Solve for x
    x = 4,619,184.90/2,822.60
  6. Step 6: Final answer
    x = 1,636.50

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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.