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Finding the Fourth Proportional to 2,209.96, 3,315.30 and 1,055.71

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Solution

The fourth proportional to 2,209.96, 3,315.30 and 1,055.71 is: 1,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.96 : 3,315.30 = 1,055.71 : x
  2. Step 2: Convert to fraction form
    2,209.96/3,315.30 = 1,055.71/x
  3. Step 3: Cross multiply
    2,209.96x = 3,315.30 × 1,055.71
  4. Step 4: Simplify right side
    2,209.96x = 3,499,995.36
  5. Step 5: Solve for x
    x = 3,499,995.36/2,209.96
  6. Step 6: Final answer
    x = 1,583.74

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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.