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Finding the Fourth Proportional to 3,452.94, 4,765.16 and 1,881.14

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Solution

The fourth proportional to 3,452.94, 4,765.16 and 1,881.14 is: 2,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.94 : 4,765.16 = 1,881.14 : x
  2. Step 2: Convert to fraction form
    3,452.94/4,765.16 = 1,881.14/x
  3. Step 3: Cross multiply
    3,452.94x = 4,765.16 × 1,881.14
  4. Step 4: Simplify right side
    3,452.94x = 8,963,933.08
  5. Step 5: Solve for x
    x = 8,963,933.08/3,452.94
  6. Step 6: Final answer
    x = 2,596.03

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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.