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Finding the Fourth Proportional to 2,308.75, 3,460.55 and 921.73

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Solution

The fourth proportional to 2,308.75, 3,460.55 and 921.73 is: 1,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.75 : 3,460.55 = 921.73 : x
  2. Step 2: Convert to fraction form
    2,308.75/3,460.55 = 921.73/x
  3. Step 3: Cross multiply
    2,308.75x = 3,460.55 × 921.73
  4. Step 4: Simplify right side
    2,308.75x = 3,189,670.84
  5. Step 5: Solve for x
    x = 3,189,670.84/2,308.75
  6. Step 6: Final answer
    x = 1,381.56

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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.