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Finding the Fourth Proportional to 2,150.32, 3,225.38 and 763.60

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Solution

The fourth proportional to 2,150.32, 3,225.38 and 763.60 is: 1,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.32 : 3,225.38 = 763.60 : x
  2. Step 2: Convert to fraction form
    2,150.32/3,225.38 = 763.60/x
  3. Step 3: Cross multiply
    2,150.32x = 3,225.38 × 763.60
  4. Step 4: Simplify right side
    2,150.32x = 2,462,900.17
  5. Step 5: Solve for x
    x = 2,462,900.17/2,150.32
  6. Step 6: Final answer
    x = 1,145.36

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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.