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Finding the Fourth Proportional to 2,143.70, 3,199.11 and 1,654.10

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Solution

The fourth proportional to 2,143.70, 3,199.11 and 1,654.10 is: 2,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.70 : 3,199.11 = 1,654.10 : x
  2. Step 2: Convert to fraction form
    2,143.70/3,199.11 = 1,654.10/x
  3. Step 3: Cross multiply
    2,143.70x = 3,199.11 × 1,654.10
  4. Step 4: Simplify right side
    2,143.70x = 5,291,647.85
  5. Step 5: Solve for x
    x = 5,291,647.85/2,143.70
  6. Step 6: Final answer
    x = 2,468.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.