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Finding the Fourth Proportional to 3,260.76, 4,880.10 and 2,741.40

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Solution

The fourth proportional to 3,260.76, 4,880.10 and 2,741.40 is: 4,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.76 : 4,880.10 = 2,741.40 : x
  2. Step 2: Convert to fraction form
    3,260.76/4,880.10 = 2,741.40/x
  3. Step 3: Cross multiply
    3,260.76x = 4,880.10 × 2,741.40
  4. Step 4: Simplify right side
    3,260.76x = 13,378,306.14
  5. Step 5: Solve for x
    x = 13,378,306.14/3,260.76
  6. Step 6: Final answer
    x = 4,102.82

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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.