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Finding the Fourth Proportional to 2,810.46, 4,215.33 and 961.32

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Solution

The fourth proportional to 2,810.46, 4,215.33 and 961.32 is: 1,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.46 : 4,215.33 = 961.32 : x
  2. Step 2: Convert to fraction form
    2,810.46/4,215.33 = 961.32/x
  3. Step 3: Cross multiply
    2,810.46x = 4,215.33 × 961.32
  4. Step 4: Simplify right side
    2,810.46x = 4,052,281.04
  5. Step 5: Solve for x
    x = 4,052,281.04/2,810.46
  6. Step 6: Final answer
    x = 1,441.86

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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.