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Finding the Fourth Proportional to 2,209.78, 3,050.06 and 1,265.87

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Solution

The fourth proportional to 2,209.78, 3,050.06 and 1,265.87 is: 1,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 3,050.06 = 1,265.87 : x
  2. Step 2: Convert to fraction form
    2,209.78/3,050.06 = 1,265.87/x
  3. Step 3: Cross multiply
    2,209.78x = 3,050.06 × 1,265.87
  4. Step 4: Simplify right side
    2,209.78x = 3,860,980.75
  5. Step 5: Solve for x
    x = 3,860,980.75/2,209.78
  6. Step 6: Final answer
    x = 1,747.23

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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.