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Finding the Fourth Proportional to 2,937.40, 4,410.90 and 1,967.80

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Solution

The fourth proportional to 2,937.40, 4,410.90 and 1,967.80 is: 2,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.40 : 4,410.90 = 1,967.80 : x
  2. Step 2: Convert to fraction form
    2,937.40/4,410.90 = 1,967.80/x
  3. Step 3: Cross multiply
    2,937.40x = 4,410.90 × 1,967.80
  4. Step 4: Simplify right side
    2,937.40x = 8,679,769.02
  5. Step 5: Solve for x
    x = 8,679,769.02/2,937.40
  6. Step 6: Final answer
    x = 2,954.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.