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Finding the Fourth Proportional to 2,809.12, 4,210.80 and 959.68

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Solution

The fourth proportional to 2,809.12, 4,210.80 and 959.68 is: 1,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.12 : 4,210.80 = 959.68 : x
  2. Step 2: Convert to fraction form
    2,809.12/4,210.80 = 959.68/x
  3. Step 3: Cross multiply
    2,809.12x = 4,210.80 × 959.68
  4. Step 4: Simplify right side
    2,809.12x = 4,041,020.54
  5. Step 5: Solve for x
    x = 4,041,020.54/2,809.12
  6. Step 6: Final answer
    x = 1,438.54

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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.