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Finding the Fourth Proportional to 2,131.02, 3,197.76 and 898.34

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Solution

The fourth proportional to 2,131.02, 3,197.76 and 898.34 is: 1,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.02 : 3,197.76 = 898.34 : x
  2. Step 2: Convert to fraction form
    2,131.02/3,197.76 = 898.34/x
  3. Step 3: Cross multiply
    2,131.02x = 3,197.76 × 898.34
  4. Step 4: Simplify right side
    2,131.02x = 2,872,675.72
  5. Step 5: Solve for x
    x = 2,872,675.72/2,131.02
  6. Step 6: Final answer
    x = 1,348.03

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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.