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Finding the Fourth Proportional to 3,209.86, 4,813.57 and 1,261

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Solution

The fourth proportional to 3,209.86, 4,813.57 and 1,261 is: 1,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.86 : 4,813.57 = 1,261 : x
  2. Step 2: Convert to fraction form
    3,209.86/4,813.57 = 1,261/x
  3. Step 3: Cross multiply
    3,209.86x = 4,813.57 × 1,261
  4. Step 4: Simplify right side
    3,209.86x = 6,069,911.77
  5. Step 5: Solve for x
    x = 6,069,911.77/3,209.86
  6. Step 6: Final answer
    x = 1,891.02

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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.