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Finding the Fourth Proportional to 2,209.31, 3,047.24 and 1,570.22

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Solution

The fourth proportional to 2,209.31, 3,047.24 and 1,570.22 is: 2,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.31 : 3,047.24 = 1,570.22 : x
  2. Step 2: Convert to fraction form
    2,209.31/3,047.24 = 1,570.22/x
  3. Step 3: Cross multiply
    2,209.31x = 3,047.24 × 1,570.22
  4. Step 4: Simplify right side
    2,209.31x = 4,784,825.88
  5. Step 5: Solve for x
    x = 4,784,825.88/2,209.31
  6. Step 6: Final answer
    x = 2,165.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.