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Finding the Fourth Proportional to 2,431.25, 3,646.56 and 787.63

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Solution

The fourth proportional to 2,431.25, 3,646.56 and 787.63 is: 1,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.25 : 3,646.56 = 787.63 : x
  2. Step 2: Convert to fraction form
    2,431.25/3,646.56 = 787.63/x
  3. Step 3: Cross multiply
    2,431.25x = 3,646.56 × 787.63
  4. Step 4: Simplify right side
    2,431.25x = 2,872,140.05
  5. Step 5: Solve for x
    x = 2,872,140.05/2,431.25
  6. Step 6: Final answer
    x = 1,181.34

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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.