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Finding the Fourth Proportional to 2,830, 4,240.60 and 1,367.12

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Solution

The fourth proportional to 2,830, 4,240.60 and 1,367.12 is: 2,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830 : 4,240.60 = 1,367.12 : x
  2. Step 2: Convert to fraction form
    2,830/4,240.60 = 1,367.12/x
  3. Step 3: Cross multiply
    2,830x = 4,240.60 × 1,367.12
  4. Step 4: Simplify right side
    2,830x = 5,797,409.07
  5. Step 5: Solve for x
    x = 5,797,409.07/2,830
  6. Step 6: Final answer
    x = 2,048.55

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