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Finding the Fourth Proportional to 3,215.92, 4,820.64 and 1,485.76

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Solution

The fourth proportional to 3,215.92, 4,820.64 and 1,485.76 is: 2,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.92 : 4,820.64 = 1,485.76 : x
  2. Step 2: Convert to fraction form
    3,215.92/4,820.64 = 1,485.76/x
  3. Step 3: Cross multiply
    3,215.92x = 4,820.64 × 1,485.76
  4. Step 4: Simplify right side
    3,215.92x = 7,162,314.09
  5. Step 5: Solve for x
    x = 7,162,314.09/3,215.92
  6. Step 6: Final answer
    x = 2,227.14

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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.