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Finding the Fourth Proportional to 1,633.59, 2,252.81 and 1,259.97

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Solution

The fourth proportional to 1,633.59, 2,252.81 and 1,259.97 is: 1,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.59 : 2,252.81 = 1,259.97 : x
  2. Step 2: Convert to fraction form
    1,633.59/2,252.81 = 1,259.97/x
  3. Step 3: Cross multiply
    1,633.59x = 2,252.81 × 1,259.97
  4. Step 4: Simplify right side
    1,633.59x = 2,838,478.65
  5. Step 5: Solve for x
    x = 2,838,478.65/1,633.59
  6. Step 6: Final answer
    x = 1,737.58

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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.