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Finding the Fourth Proportional to 2,174.79, 2,999.96 and 1,387.95

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Solution

The fourth proportional to 2,174.79, 2,999.96 and 1,387.95 is: 1,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.79 : 2,999.96 = 1,387.95 : x
  2. Step 2: Convert to fraction form
    2,174.79/2,999.96 = 1,387.95/x
  3. Step 3: Cross multiply
    2,174.79x = 2,999.96 × 1,387.95
  4. Step 4: Simplify right side
    2,174.79x = 4,163,787.54
  5. Step 5: Solve for x
    x = 4,163,787.54/2,174.79
  6. Step 6: Final answer
    x = 1,914.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.