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Finding the Fourth Proportional to 3,156.83, 4,735.52 and 816.81

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Solution

The fourth proportional to 3,156.83, 4,735.52 and 816.81 is: 1,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.83 : 4,735.52 = 816.81 : x
  2. Step 2: Convert to fraction form
    3,156.83/4,735.52 = 816.81/x
  3. Step 3: Cross multiply
    3,156.83x = 4,735.52 × 816.81
  4. Step 4: Simplify right side
    3,156.83x = 3,868,016.01
  5. Step 5: Solve for x
    x = 3,868,016.01/3,156.83
  6. Step 6: Final answer
    x = 1,225.29

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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.