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Finding the Fourth Proportional to 2,411.37, 3,613.01 and 1,716.80

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Solution

The fourth proportional to 2,411.37, 3,613.01 and 1,716.80 is: 2,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.37 : 3,613.01 = 1,716.80 : x
  2. Step 2: Convert to fraction form
    2,411.37/3,613.01 = 1,716.80/x
  3. Step 3: Cross multiply
    2,411.37x = 3,613.01 × 1,716.80
  4. Step 4: Simplify right side
    2,411.37x = 6,202,788.92
  5. Step 5: Solve for x
    x = 6,202,788.92/2,411.37
  6. Step 6: Final answer
    x = 2,572.31

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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.