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Finding the Fourth Proportional to 3,293.67, 4,935.63 and 1,830.81

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Solution

The fourth proportional to 3,293.67, 4,935.63 and 1,830.81 is: 2,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.67 : 4,935.63 = 1,830.81 : x
  2. Step 2: Convert to fraction form
    3,293.67/4,935.63 = 1,830.81/x
  3. Step 3: Cross multiply
    3,293.67x = 4,935.63 × 1,830.81
  4. Step 4: Simplify right side
    3,293.67x = 9,036,200.76
  5. Step 5: Solve for x
    x = 9,036,200.76/3,293.67
  6. Step 6: Final answer
    x = 2,743.51

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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.