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Finding the Fourth Proportional to 2,334.87, 3,505.77 and 1,461.11

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Solution

The fourth proportional to 2,334.87, 3,505.77 and 1,461.11 is: 2,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.87 : 3,505.77 = 1,461.11 : x
  2. Step 2: Convert to fraction form
    2,334.87/3,505.77 = 1,461.11/x
  3. Step 3: Cross multiply
    2,334.87x = 3,505.77 × 1,461.11
  4. Step 4: Simplify right side
    2,334.87x = 5,122,298.08
  5. Step 5: Solve for x
    x = 5,122,298.08/2,334.87
  6. Step 6: Final answer
    x = 2,193.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.