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Finding the Fourth Proportional to 2,709.05, 3,740.11 and 1,715.18

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Solution

The fourth proportional to 2,709.05, 3,740.11 and 1,715.18 is: 2,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.05 : 3,740.11 = 1,715.18 : x
  2. Step 2: Convert to fraction form
    2,709.05/3,740.11 = 1,715.18/x
  3. Step 3: Cross multiply
    2,709.05x = 3,740.11 × 1,715.18
  4. Step 4: Simplify right side
    2,709.05x = 6,414,966.93
  5. Step 5: Solve for x
    x = 6,414,966.93/2,709.05
  6. Step 6: Final answer
    x = 2,367.97

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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.