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Finding the Fourth Proportional to 2,131.96, 3,196.40 and 898.69

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Solution

The fourth proportional to 2,131.96, 3,196.40 and 898.69 is: 1,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.96 : 3,196.40 = 898.69 : x
  2. Step 2: Convert to fraction form
    2,131.96/3,196.40 = 898.69/x
  3. Step 3: Cross multiply
    2,131.96x = 3,196.40 × 898.69
  4. Step 4: Simplify right side
    2,131.96x = 2,872,575.21
  5. Step 5: Solve for x
    x = 2,872,575.21/2,131.96
  6. Step 6: Final answer
    x = 1,347.39

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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.