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Finding the Fourth Proportional to 2,264.05, 3,123.92 and 1,636.00

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Solution

The fourth proportional to 2,264.05, 3,123.92 and 1,636.00 is: 2,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.05 : 3,123.92 = 1,636.00 : x
  2. Step 2: Convert to fraction form
    2,264.05/3,123.92 = 1,636.00/x
  3. Step 3: Cross multiply
    2,264.05x = 3,123.92 × 1,636.00
  4. Step 4: Simplify right side
    2,264.05x = 5,110,720.20
  5. Step 5: Solve for x
    x = 5,110,720.20/2,264.05
  6. Step 6: Final answer
    x = 2,257.33

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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.