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Finding the Fourth Proportional to 2,157.76, 2,974.24 and 1,597.36

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Solution

The fourth proportional to 2,157.76, 2,974.24 and 1,597.36 is: 2,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.76 : 2,974.24 = 1,597.36 : x
  2. Step 2: Convert to fraction form
    2,157.76/2,974.24 = 1,597.36/x
  3. Step 3: Cross multiply
    2,157.76x = 2,974.24 × 1,597.36
  4. Step 4: Simplify right side
    2,157.76x = 4,750,932.01
  5. Step 5: Solve for x
    x = 4,750,932.01/2,157.76
  6. Step 6: Final answer
    x = 2,201.79

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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.