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Finding the Fourth Proportional to 2,129.18, 3,191.40 and 896.22

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Solution

The fourth proportional to 2,129.18, 3,191.40 and 896.22 is: 1,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.18 : 3,191.40 = 896.22 : x
  2. Step 2: Convert to fraction form
    2,129.18/3,191.40 = 896.22/x
  3. Step 3: Cross multiply
    2,129.18x = 3,191.40 × 896.22
  4. Step 4: Simplify right side
    2,129.18x = 2,860,196.51
  5. Step 5: Solve for x
    x = 2,860,196.51/2,129.18
  6. Step 6: Final answer
    x = 1,343.34

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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.