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Finding the Fourth Proportional to 2,657.26, 3,985.08 and 1,269.87

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Solution

The fourth proportional to 2,657.26, 3,985.08 and 1,269.87 is: 1,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.26 : 3,985.08 = 1,269.87 : x
  2. Step 2: Convert to fraction form
    2,657.26/3,985.08 = 1,269.87/x
  3. Step 3: Cross multiply
    2,657.26x = 3,985.08 × 1,269.87
  4. Step 4: Simplify right side
    2,657.26x = 5,060,533.54
  5. Step 5: Solve for x
    x = 5,060,533.54/2,657.26
  6. Step 6: Final answer
    x = 1,904.42

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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.