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Finding the Fourth Proportional to 2,146.89, 3,216.24 and 1,157.25

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Solution

The fourth proportional to 2,146.89, 3,216.24 and 1,157.25 is: 1,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.89 : 3,216.24 = 1,157.25 : x
  2. Step 2: Convert to fraction form
    2,146.89/3,216.24 = 1,157.25/x
  3. Step 3: Cross multiply
    2,146.89x = 3,216.24 × 1,157.25
  4. Step 4: Simplify right side
    2,146.89x = 3,721,993.74
  5. Step 5: Solve for x
    x = 3,721,993.74/2,146.89
  6. Step 6: Final answer
    x = 1,733.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.