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Finding the Fourth Proportional to 2,472.22, 3,412.14 and 1,589.14

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Solution

The fourth proportional to 2,472.22, 3,412.14 and 1,589.14 is: 2,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.22 : 3,412.14 = 1,589.14 : x
  2. Step 2: Convert to fraction form
    2,472.22/3,412.14 = 1,589.14/x
  3. Step 3: Cross multiply
    2,472.22x = 3,412.14 × 1,589.14
  4. Step 4: Simplify right side
    2,472.22x = 5,422,368.16
  5. Step 5: Solve for x
    x = 5,422,368.16/2,472.22
  6. Step 6: Final answer
    x = 2,193.32

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Why These Related Problems?

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