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Finding the Fourth Proportional to 2,150.31, 3,225.72 and 763.35

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Solution

The fourth proportional to 2,150.31, 3,225.72 and 763.35 is: 1,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.31 : 3,225.72 = 763.35 : x
  2. Step 2: Convert to fraction form
    2,150.31/3,225.72 = 763.35/x
  3. Step 3: Cross multiply
    2,150.31x = 3,225.72 × 763.35
  4. Step 4: Simplify right side
    2,150.31x = 2,462,353.36
  5. Step 5: Solve for x
    x = 2,462,353.36/2,150.31
  6. Step 6: Final answer
    x = 1,145.12

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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.