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Finding the Fourth Proportional to 2,679.65, 3,698.26 and 1,560.60

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Solution

The fourth proportional to 2,679.65, 3,698.26 and 1,560.60 is: 2,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.65 : 3,698.26 = 1,560.60 : x
  2. Step 2: Convert to fraction form
    2,679.65/3,698.26 = 1,560.60/x
  3. Step 3: Cross multiply
    2,679.65x = 3,698.26 × 1,560.60
  4. Step 4: Simplify right side
    2,679.65x = 5,771,504.56
  5. Step 5: Solve for x
    x = 5,771,504.56/2,679.65
  6. Step 6: Final answer
    x = 2,153.83

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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.