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Finding the Fourth Proportional to 1,605.90, 2,213.55 and 1,310.70

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Solution

The fourth proportional to 1,605.90, 2,213.55 and 1,310.70 is: 1,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.90 : 2,213.55 = 1,310.70 : x
  2. Step 2: Convert to fraction form
    1,605.90/2,213.55 = 1,310.70/x
  3. Step 3: Cross multiply
    1,605.90x = 2,213.55 × 1,310.70
  4. Step 4: Simplify right side
    1,605.90x = 2,901,299.99
  5. Step 5: Solve for x
    x = 2,901,299.99/1,605.90
  6. Step 6: Final answer
    x = 1,806.65

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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.