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Finding the Fourth Proportional to 2,834.61, 3,911.15 and 1,715.32

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Solution

The fourth proportional to 2,834.61, 3,911.15 and 1,715.32 is: 2,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.61 : 3,911.15 = 1,715.32 : x
  2. Step 2: Convert to fraction form
    2,834.61/3,911.15 = 1,715.32/x
  3. Step 3: Cross multiply
    2,834.61x = 3,911.15 × 1,715.32
  4. Step 4: Simplify right side
    2,834.61x = 6,708,883.00
  5. Step 5: Solve for x
    x = 6,708,883.00/2,834.61
  6. Step 6: Final answer
    x = 2,366.78

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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.