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Finding the Fourth Proportional to 2,427.16, 3,640.71 and 1,605.22

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Solution

The fourth proportional to 2,427.16, 3,640.71 and 1,605.22 is: 2,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.16 : 3,640.71 = 1,605.22 : x
  2. Step 2: Convert to fraction form
    2,427.16/3,640.71 = 1,605.22/x
  3. Step 3: Cross multiply
    2,427.16x = 3,640.71 × 1,605.22
  4. Step 4: Simplify right side
    2,427.16x = 5,844,140.51
  5. Step 5: Solve for x
    x = 5,844,140.51/2,427.16
  6. Step 6: Final answer
    x = 2,407.81

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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.