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Finding the Fourth Proportional to 2,741.98, 4,113.42 and 1,509.97

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Solution

The fourth proportional to 2,741.98, 4,113.42 and 1,509.97 is: 2,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.98 : 4,113.42 = 1,509.97 : x
  2. Step 2: Convert to fraction form
    2,741.98/4,113.42 = 1,509.97/x
  3. Step 3: Cross multiply
    2,741.98x = 4,113.42 × 1,509.97
  4. Step 4: Simplify right side
    2,741.98x = 6,211,140.80
  5. Step 5: Solve for x
    x = 6,211,140.80/2,741.98
  6. Step 6: Final answer
    x = 2,265.20

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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.