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Finding the Fourth Proportional to 2,647.15, 3,652.94 and 1,468.19

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Solution

The fourth proportional to 2,647.15, 3,652.94 and 1,468.19 is: 2,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.15 : 3,652.94 = 1,468.19 : x
  2. Step 2: Convert to fraction form
    2,647.15/3,652.94 = 1,468.19/x
  3. Step 3: Cross multiply
    2,647.15x = 3,652.94 × 1,468.19
  4. Step 4: Simplify right side
    2,647.15x = 5,363,202.64
  5. Step 5: Solve for x
    x = 5,363,202.64/2,647.15
  6. Step 6: Final answer
    x = 2,026.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.