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Finding the Fourth Proportional to 1,436.46, 2,154.85 and 512.12

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Solution

The fourth proportional to 1,436.46, 2,154.85 and 512.12 is: 768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.46 : 2,154.85 = 512.12 : x
  2. Step 2: Convert to fraction form
    1,436.46/2,154.85 = 512.12/x
  3. Step 3: Cross multiply
    1,436.46x = 2,154.85 × 512.12
  4. Step 4: Simplify right side
    1,436.46x = 1,103,528.45
  5. Step 5: Solve for x
    x = 1,103,528.45/1,436.46
  6. Step 6: Final answer
    x = 768.23

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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.