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Finding the Fourth Proportional to 3,155.11, 4,733.36 and 964.01

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Solution

The fourth proportional to 3,155.11, 4,733.36 and 964.01 is: 1,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.11 : 4,733.36 = 964.01 : x
  2. Step 2: Convert to fraction form
    3,155.11/4,733.36 = 964.01/x
  3. Step 3: Cross multiply
    3,155.11x = 4,733.36 × 964.01
  4. Step 4: Simplify right side
    3,155.11x = 4,563,008.78
  5. Step 5: Solve for x
    x = 4,563,008.78/3,155.11
  6. Step 6: Final answer
    x = 1,446.23

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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.