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Finding the Fourth Proportional to 2,308.95, 3,462.93 and 922.05

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Solution

The fourth proportional to 2,308.95, 3,462.93 and 922.05 is: 1,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.95 : 3,462.93 = 922.05 : x
  2. Step 2: Convert to fraction form
    2,308.95/3,462.93 = 922.05/x
  3. Step 3: Cross multiply
    2,308.95x = 3,462.93 × 922.05
  4. Step 4: Simplify right side
    2,308.95x = 3,192,994.61
  5. Step 5: Solve for x
    x = 3,192,994.61/2,308.95
  6. Step 6: Final answer
    x = 1,382.88

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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.