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Finding the Fourth Proportional to 3,226.29, 4,451.74 and 1,810

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Solution

The fourth proportional to 3,226.29, 4,451.74 and 1,810 is: 2,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.29 : 4,451.74 = 1,810 : x
  2. Step 2: Convert to fraction form
    3,226.29/4,451.74 = 1,810/x
  3. Step 3: Cross multiply
    3,226.29x = 4,451.74 × 1,810
  4. Step 4: Simplify right side
    3,226.29x = 8,057,649.40
  5. Step 5: Solve for x
    x = 8,057,649.40/3,226.29
  6. Step 6: Final answer
    x = 2,497.50

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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.