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Finding the Fourth Proportional to 1,612.31, 2,420.89 and 919.76

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Solution

The fourth proportional to 1,612.31, 2,420.89 and 919.76 is: 1,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.31 : 2,420.89 = 919.76 : x
  2. Step 2: Convert to fraction form
    1,612.31/2,420.89 = 919.76/x
  3. Step 3: Cross multiply
    1,612.31x = 2,420.89 × 919.76
  4. Step 4: Simplify right side
    1,612.31x = 2,226,623.38
  5. Step 5: Solve for x
    x = 2,226,623.38/1,612.31
  6. Step 6: Final answer
    x = 1,381.02

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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.