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Finding the Fourth Proportional to 2,632.81, 3,637.02 and 2,105.19

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Solution

The fourth proportional to 2,632.81, 3,637.02 and 2,105.19 is: 2,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.81 : 3,637.02 = 2,105.19 : x
  2. Step 2: Convert to fraction form
    2,632.81/3,637.02 = 2,105.19/x
  3. Step 3: Cross multiply
    2,632.81x = 3,637.02 × 2,105.19
  4. Step 4: Simplify right side
    2,632.81x = 7,656,618.13
  5. Step 5: Solve for x
    x = 7,656,618.13/2,632.81
  6. Step 6: Final answer
    x = 2,908.15

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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.