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Finding the Fourth Proportional to 2,208.31, 3,312.42 and 891.70

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Solution

The fourth proportional to 2,208.31, 3,312.42 and 891.70 is: 1,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.31 : 3,312.42 = 891.70 : x
  2. Step 2: Convert to fraction form
    2,208.31/3,312.42 = 891.70/x
  3. Step 3: Cross multiply
    2,208.31x = 3,312.42 × 891.70
  4. Step 4: Simplify right side
    2,208.31x = 2,953,684.91
  5. Step 5: Solve for x
    x = 2,953,684.91/2,208.31
  6. Step 6: Final answer
    x = 1,337.53

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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.