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Finding the Fourth Proportional to 2,632.74, 3,633.17 and 1,688.54

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Solution

The fourth proportional to 2,632.74, 3,633.17 and 1,688.54 is: 2,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.74 : 3,633.17 = 1,688.54 : x
  2. Step 2: Convert to fraction form
    2,632.74/3,633.17 = 1,688.54/x
  3. Step 3: Cross multiply
    2,632.74x = 3,633.17 × 1,688.54
  4. Step 4: Simplify right side
    2,632.74x = 6,134,726.26
  5. Step 5: Solve for x
    x = 6,134,726.26/2,632.74
  6. Step 6: Final answer
    x = 2,330.17

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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.