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Finding the Fourth Proportional to 2,417.57, 3,626.81 and 1,722.51

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Solution

The fourth proportional to 2,417.57, 3,626.81 and 1,722.51 is: 2,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.57 : 3,626.81 = 1,722.51 : x
  2. Step 2: Convert to fraction form
    2,417.57/3,626.81 = 1,722.51/x
  3. Step 3: Cross multiply
    2,417.57x = 3,626.81 × 1,722.51
  4. Step 4: Simplify right side
    2,417.57x = 6,247,230.72
  5. Step 5: Solve for x
    x = 6,247,230.72/2,417.57
  6. Step 6: Final answer
    x = 2,584.10

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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.