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Finding the Fourth Proportional to 3,346.83, 4,618.71 and 1,834.56

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Solution

The fourth proportional to 3,346.83, 4,618.71 and 1,834.56 is: 2,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.83 : 4,618.71 = 1,834.56 : x
  2. Step 2: Convert to fraction form
    3,346.83/4,618.71 = 1,834.56/x
  3. Step 3: Cross multiply
    3,346.83x = 4,618.71 × 1,834.56
  4. Step 4: Simplify right side
    3,346.83x = 8,473,300.62
  5. Step 5: Solve for x
    x = 8,473,300.62/3,346.83
  6. Step 6: Final answer
    x = 2,531.74

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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.