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Finding the Fourth Proportional to 3,095.98, 4,272.42 and 1,769.74

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Solution

The fourth proportional to 3,095.98, 4,272.42 and 1,769.74 is: 2,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.98 : 4,272.42 = 1,769.74 : x
  2. Step 2: Convert to fraction form
    3,095.98/4,272.42 = 1,769.74/x
  3. Step 3: Cross multiply
    3,095.98x = 4,272.42 × 1,769.74
  4. Step 4: Simplify right side
    3,095.98x = 7,561,072.57
  5. Step 5: Solve for x
    x = 7,561,072.57/3,095.98
  6. Step 6: Final answer
    x = 2,442.22

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