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Finding the Fourth Proportional to 3,087, 4,260.08 and 1,760.69

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Solution

The fourth proportional to 3,087, 4,260.08 and 1,760.69 is: 2,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087 : 4,260.08 = 1,760.69 : x
  2. Step 2: Convert to fraction form
    3,087/4,260.08 = 1,760.69/x
  3. Step 3: Cross multiply
    3,087x = 4,260.08 × 1,760.69
  4. Step 4: Simplify right side
    3,087x = 7,500,680.26
  5. Step 5: Solve for x
    x = 7,500,680.26/3,087
  6. Step 6: Final answer
    x = 2,429.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.