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Finding the Fourth Proportional to 3,406.10, 4,703.40 and 2,149.40

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Solution

The fourth proportional to 3,406.10, 4,703.40 and 2,149.40 is: 2,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.10 : 4,703.40 = 2,149.40 : x
  2. Step 2: Convert to fraction form
    3,406.10/4,703.40 = 2,149.40/x
  3. Step 3: Cross multiply
    3,406.10x = 4,703.40 × 2,149.40
  4. Step 4: Simplify right side
    3,406.10x = 10,109,487.96
  5. Step 5: Solve for x
    x = 10,109,487.96/3,406.10
  6. Step 6: Final answer
    x = 2,968.05

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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.