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Finding the Fourth Proportional to 2,709, 3,728.70 and 2,414.16

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Solution

The fourth proportional to 2,709, 3,728.70 and 2,414.16 is: 3,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 3,728.70 = 2,414.16 : x
  2. Step 2: Convert to fraction form
    2,709/3,728.70 = 2,414.16/x
  3. Step 3: Cross multiply
    2,709x = 3,728.70 × 2,414.16
  4. Step 4: Simplify right side
    2,709x = 9,001,678.39
  5. Step 5: Solve for x
    x = 9,001,678.39/2,709
  6. Step 6: Final answer
    x = 3,322.88

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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.