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Finding the Fourth Proportional to 2,657.21, 3,985.81 and 1,269.68

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Solution

The fourth proportional to 2,657.21, 3,985.81 and 1,269.68 is: 1,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.21 : 3,985.81 = 1,269.68 : x
  2. Step 2: Convert to fraction form
    2,657.21/3,985.81 = 1,269.68/x
  3. Step 3: Cross multiply
    2,657.21x = 3,985.81 × 1,269.68
  4. Step 4: Simplify right side
    2,657.21x = 5,060,680.14
  5. Step 5: Solve for x
    x = 5,060,680.14/2,657.21
  6. Step 6: Final answer
    x = 1,904.51

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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.