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Finding the Fourth Proportional to 2,647.46, 3,654.22 and 1,652.14

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Solution

The fourth proportional to 2,647.46, 3,654.22 and 1,652.14 is: 2,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.46 : 3,654.22 = 1,652.14 : x
  2. Step 2: Convert to fraction form
    2,647.46/3,654.22 = 1,652.14/x
  3. Step 3: Cross multiply
    2,647.46x = 3,654.22 × 1,652.14
  4. Step 4: Simplify right side
    2,647.46x = 6,037,283.03
  5. Step 5: Solve for x
    x = 6,037,283.03/2,647.46
  6. Step 6: Final answer
    x = 2,280.41

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Why These Related Problems?

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