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Finding the Fourth Proportional to 2,162.56, 2,975.52 and 2,113.42

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Solution

The fourth proportional to 2,162.56, 2,975.52 and 2,113.42 is: 2,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.56 : 2,975.52 = 2,113.42 : x
  2. Step 2: Convert to fraction form
    2,162.56/2,975.52 = 2,113.42/x
  3. Step 3: Cross multiply
    2,162.56x = 2,975.52 × 2,113.42
  4. Step 4: Simplify right side
    2,162.56x = 6,288,523.48
  5. Step 5: Solve for x
    x = 6,288,523.48/2,162.56
  6. Step 6: Final answer
    x = 2,907.91

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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.