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Finding the Fourth Proportional to 2,834.68, 3,911.74 and 1,716.08

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Solution

The fourth proportional to 2,834.68, 3,911.74 and 1,716.08 is: 2,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.68 : 3,911.74 = 1,716.08 : x
  2. Step 2: Convert to fraction form
    2,834.68/3,911.74 = 1,716.08/x
  3. Step 3: Cross multiply
    2,834.68x = 3,911.74 × 1,716.08
  4. Step 4: Simplify right side
    2,834.68x = 6,712,858.78
  5. Step 5: Solve for x
    x = 6,712,858.78/2,834.68
  6. Step 6: Final answer
    x = 2,368.12

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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.