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Finding the Fourth Proportional to 3,040.80, 4,142.40 and 3,040.80

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Solution

The fourth proportional to 3,040.80, 4,142.40 and 3,040.80 is: 4,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.80 : 4,142.40 = 3,040.80 : x
  2. Step 2: Convert to fraction form
    3,040.80/4,142.40 = 3,040.80/x
  3. Step 3: Cross multiply
    3,040.80x = 4,142.40 × 3,040.80
  4. Step 4: Simplify right side
    3,040.80x = 12,596,209.92
  5. Step 5: Solve for x
    x = 12,596,209.92/3,040.80
  6. Step 6: Final answer
    x = 4,142.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.