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Finding the Fourth Proportional to 2,699.40, 3,724.89 and 1,520.46

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Solution

The fourth proportional to 2,699.40, 3,724.89 and 1,520.46 is: 2,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.40 : 3,724.89 = 1,520.46 : x
  2. Step 2: Convert to fraction form
    2,699.40/3,724.89 = 1,520.46/x
  3. Step 3: Cross multiply
    2,699.40x = 3,724.89 × 1,520.46
  4. Step 4: Simplify right side
    2,699.40x = 5,663,546.25
  5. Step 5: Solve for x
    x = 5,663,546.25/2,699.40
  6. Step 6: Final answer
    x = 2,098.08

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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.