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Finding the Fourth Proportional to 1,633.69, 2,252.50 and 1,423.09

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Solution

The fourth proportional to 1,633.69, 2,252.50 and 1,423.09 is: 1,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.69 : 2,252.50 = 1,423.09 : x
  2. Step 2: Convert to fraction form
    1,633.69/2,252.50 = 1,423.09/x
  3. Step 3: Cross multiply
    1,633.69x = 2,252.50 × 1,423.09
  4. Step 4: Simplify right side
    1,633.69x = 3,205,510.23
  5. Step 5: Solve for x
    x = 3,205,510.23/1,633.69
  6. Step 6: Final answer
    x = 1,962.13

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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.