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Finding the Fourth Proportional to 1,436.94, 2,156.22 and 787.32

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Solution

The fourth proportional to 1,436.94, 2,156.22 and 787.32 is: 1,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.94 : 2,156.22 = 787.32 : x
  2. Step 2: Convert to fraction form
    1,436.94/2,156.22 = 787.32/x
  3. Step 3: Cross multiply
    1,436.94x = 2,156.22 × 787.32
  4. Step 4: Simplify right side
    1,436.94x = 1,697,635.13
  5. Step 5: Solve for x
    x = 1,697,635.13/1,436.94
  6. Step 6: Final answer
    x = 1,181.42

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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.