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Finding the Fourth Proportional to 2,493.40, 3,740.10 and 2,104.60

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Solution

The fourth proportional to 2,493.40, 3,740.10 and 2,104.60 is: 3,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.40 : 3,740.10 = 2,104.60 : x
  2. Step 2: Convert to fraction form
    2,493.40/3,740.10 = 2,104.60/x
  3. Step 3: Cross multiply
    2,493.40x = 3,740.10 × 2,104.60
  4. Step 4: Simplify right side
    2,493.40x = 7,871,414.46
  5. Step 5: Solve for x
    x = 7,871,414.46/2,493.40
  6. Step 6: Final answer
    x = 3,156.90

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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.