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Finding the Fourth Proportional to 2,663.30, 3,994.74 and 1,687.25

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Solution

The fourth proportional to 2,663.30, 3,994.74 and 1,687.25 is: 2,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.30 : 3,994.74 = 1,687.25 : x
  2. Step 2: Convert to fraction form
    2,663.30/3,994.74 = 1,687.25/x
  3. Step 3: Cross multiply
    2,663.30x = 3,994.74 × 1,687.25
  4. Step 4: Simplify right side
    2,663.30x = 6,740,125.07
  5. Step 5: Solve for x
    x = 6,740,125.07/2,663.30
  6. Step 6: Final answer
    x = 2,530.74

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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.