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Finding the Fourth Proportional to 2,465.09, 3,692.57 and 1,640.71

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Solution

The fourth proportional to 2,465.09, 3,692.57 and 1,640.71 is: 2,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.09 : 3,692.57 = 1,640.71 : x
  2. Step 2: Convert to fraction form
    2,465.09/3,692.57 = 1,640.71/x
  3. Step 3: Cross multiply
    2,465.09x = 3,692.57 × 1,640.71
  4. Step 4: Simplify right side
    2,465.09x = 6,058,436.52
  5. Step 5: Solve for x
    x = 6,058,436.52/2,465.09
  6. Step 6: Final answer
    x = 2,457.69

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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.