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Finding the Fourth Proportional to 2,101.92, 2,900.67 and 1,157.73

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Solution

The fourth proportional to 2,101.92, 2,900.67 and 1,157.73 is: 1,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.92 : 2,900.67 = 1,157.73 : x
  2. Step 2: Convert to fraction form
    2,101.92/2,900.67 = 1,157.73/x
  3. Step 3: Cross multiply
    2,101.92x = 2,900.67 × 1,157.73
  4. Step 4: Simplify right side
    2,101.92x = 3,358,177.46
  5. Step 5: Solve for x
    x = 3,358,177.46/2,101.92
  6. Step 6: Final answer
    x = 1,597.67

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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.