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Finding the Fourth Proportional to 2,464.47, 3,692.25 and 1,352.68

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Solution

The fourth proportional to 2,464.47, 3,692.25 and 1,352.68 is: 2,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.47 : 3,692.25 = 1,352.68 : x
  2. Step 2: Convert to fraction form
    2,464.47/3,692.25 = 1,352.68/x
  3. Step 3: Cross multiply
    2,464.47x = 3,692.25 × 1,352.68
  4. Step 4: Simplify right side
    2,464.47x = 4,994,444.27
  5. Step 5: Solve for x
    x = 4,994,444.27/2,464.47
  6. Step 6: Final answer
    x = 2,026.58

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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.