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Finding the Fourth Proportional to 2,834.32, 3,911.71 and 1,715.64

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Solution

The fourth proportional to 2,834.32, 3,911.71 and 1,715.64 is: 2,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.32 : 3,911.71 = 1,715.64 : x
  2. Step 2: Convert to fraction form
    2,834.32/3,911.71 = 1,715.64/x
  3. Step 3: Cross multiply
    2,834.32x = 3,911.71 × 1,715.64
  4. Step 4: Simplify right side
    2,834.32x = 6,711,086.14
  5. Step 5: Solve for x
    x = 6,711,086.14/2,834.32
  6. Step 6: Final answer
    x = 2,367.79

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