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Finding the Fourth Proportional to 2,900.31, 4,350.72 and 820.35

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Solution

The fourth proportional to 2,900.31, 4,350.72 and 820.35 is: 1,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.31 : 4,350.72 = 820.35 : x
  2. Step 2: Convert to fraction form
    2,900.31/4,350.72 = 820.35/x
  3. Step 3: Cross multiply
    2,900.31x = 4,350.72 × 820.35
  4. Step 4: Simplify right side
    2,900.31x = 3,569,113.15
  5. Step 5: Solve for x
    x = 3,569,113.15/2,900.31
  6. Step 6: Final answer
    x = 1,230.60

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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.