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Finding the Fourth Proportional to 2,451.87, 3,677.81 and 1,724.70

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Solution

The fourth proportional to 2,451.87, 3,677.81 and 1,724.70 is: 2,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.87 : 3,677.81 = 1,724.70 : x
  2. Step 2: Convert to fraction form
    2,451.87/3,677.81 = 1,724.70/x
  3. Step 3: Cross multiply
    2,451.87x = 3,677.81 × 1,724.70
  4. Step 4: Simplify right side
    2,451.87x = 6,343,118.91
  5. Step 5: Solve for x
    x = 6,343,118.91/2,451.87
  6. Step 6: Final answer
    x = 2,587.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.