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Finding the Fourth Proportional to 2,308.73, 3,464.69 and 922.35

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Solution

The fourth proportional to 2,308.73, 3,464.69 and 922.35 is: 1,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.73 : 3,464.69 = 922.35 : x
  2. Step 2: Convert to fraction form
    2,308.73/3,464.69 = 922.35/x
  3. Step 3: Cross multiply
    2,308.73x = 3,464.69 × 922.35
  4. Step 4: Simplify right side
    2,308.73x = 3,195,656.82
  5. Step 5: Solve for x
    x = 3,195,656.82/2,308.73
  6. Step 6: Final answer
    x = 1,384.16

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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.