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Finding the Fourth Proportional to 2,431.35, 3,646.94 and 787.85

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Solution

The fourth proportional to 2,431.35, 3,646.94 and 787.85 is: 1,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.35 : 3,646.94 = 787.85 : x
  2. Step 2: Convert to fraction form
    2,431.35/3,646.94 = 787.85/x
  3. Step 3: Cross multiply
    2,431.35x = 3,646.94 × 787.85
  4. Step 4: Simplify right side
    2,431.35x = 2,873,244.55
  5. Step 5: Solve for x
    x = 2,873,244.55/2,431.35
  6. Step 6: Final answer
    x = 1,181.75

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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.