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Finding the Fourth Proportional to 2,701.14, 3,727.62 and 1,769.64

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Solution

The fourth proportional to 2,701.14, 3,727.62 and 1,769.64 is: 2,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.14 : 3,727.62 = 1,769.64 : x
  2. Step 2: Convert to fraction form
    2,701.14/3,727.62 = 1,769.64/x
  3. Step 3: Cross multiply
    2,701.14x = 3,727.62 × 1,769.64
  4. Step 4: Simplify right side
    2,701.14x = 6,596,545.46
  5. Step 5: Solve for x
    x = 6,596,545.46/2,701.14
  6. Step 6: Final answer
    x = 2,442.13

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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.