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Finding the Fourth Proportional to 2,815.17, 4,222.46 and 840.82

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Solution

The fourth proportional to 2,815.17, 4,222.46 and 840.82 is: 1,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.17 : 4,222.46 = 840.82 : x
  2. Step 2: Convert to fraction form
    2,815.17/4,222.46 = 840.82/x
  3. Step 3: Cross multiply
    2,815.17x = 4,222.46 × 840.82
  4. Step 4: Simplify right side
    2,815.17x = 3,550,328.82
  5. Step 5: Solve for x
    x = 3,550,328.82/2,815.17
  6. Step 6: Final answer
    x = 1,261.14

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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.