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Finding the Fourth Proportional to 2,156.02, 3,233.12 and 769.10

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Solution

The fourth proportional to 2,156.02, 3,233.12 and 769.10 is: 1,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.02 : 3,233.12 = 769.10 : x
  2. Step 2: Convert to fraction form
    2,156.02/3,233.12 = 769.10/x
  3. Step 3: Cross multiply
    2,156.02x = 3,233.12 × 769.10
  4. Step 4: Simplify right side
    2,156.02x = 2,486,572.58
  5. Step 5: Solve for x
    x = 2,486,572.58/2,156.02
  6. Step 6: Final answer
    x = 1,153.32

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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.