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Finding the Fourth Proportional to 3,155.31, 4,732.65 and 964.08

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Solution

The fourth proportional to 3,155.31, 4,732.65 and 964.08 is: 1,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.31 : 4,732.65 = 964.08 : x
  2. Step 2: Convert to fraction form
    3,155.31/4,732.65 = 964.08/x
  3. Step 3: Cross multiply
    3,155.31x = 4,732.65 × 964.08
  4. Step 4: Simplify right side
    3,155.31x = 4,562,653.21
  5. Step 5: Solve for x
    x = 4,562,653.21/3,155.31
  6. Step 6: Final answer
    x = 1,446.02

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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.