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Finding the Fourth Proportional to 2,606.85, 3,910.85 and 1,436.25

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Solution

The fourth proportional to 2,606.85, 3,910.85 and 1,436.25 is: 2,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.85 : 3,910.85 = 1,436.25 : x
  2. Step 2: Convert to fraction form
    2,606.85/3,910.85 = 1,436.25/x
  3. Step 3: Cross multiply
    2,606.85x = 3,910.85 × 1,436.25
  4. Step 4: Simplify right side
    2,606.85x = 5,616,934.53
  5. Step 5: Solve for x
    x = 5,616,934.53/2,606.85
  6. Step 6: Final answer
    x = 2,154.69

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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.