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Finding the Fourth Proportional to 2,197.65, 3,032.60 and 1,202.72

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Solution

The fourth proportional to 2,197.65, 3,032.60 and 1,202.72 is: 1,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.65 : 3,032.60 = 1,202.72 : x
  2. Step 2: Convert to fraction form
    2,197.65/3,032.60 = 1,202.72/x
  3. Step 3: Cross multiply
    2,197.65x = 3,032.60 × 1,202.72
  4. Step 4: Simplify right side
    2,197.65x = 3,647,368.67
  5. Step 5: Solve for x
    x = 3,647,368.67/2,197.65
  6. Step 6: Final answer
    x = 1,659.67

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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.