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Finding the Fourth Proportional to 2,464.17, 3,692.07 and 2,152.59

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Solution

The fourth proportional to 2,464.17, 3,692.07 and 2,152.59 is: 3,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.17 : 3,692.07 = 2,152.59 : x
  2. Step 2: Convert to fraction form
    2,464.17/3,692.07 = 2,152.59/x
  3. Step 3: Cross multiply
    2,464.17x = 3,692.07 × 2,152.59
  4. Step 4: Simplify right side
    2,464.17x = 7,947,512.96
  5. Step 5: Solve for x
    x = 7,947,512.96/2,464.17
  6. Step 6: Final answer
    x = 3,225.23

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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.