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Finding the Fourth Proportional to 1,613.98, 2,230.32 and 1,319.14

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Solution

The fourth proportional to 1,613.98, 2,230.32 and 1,319.14 is: 1,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.98 : 2,230.32 = 1,319.14 : x
  2. Step 2: Convert to fraction form
    1,613.98/2,230.32 = 1,319.14/x
  3. Step 3: Cross multiply
    1,613.98x = 2,230.32 × 1,319.14
  4. Step 4: Simplify right side
    1,613.98x = 2,942,104.32
  5. Step 5: Solve for x
    x = 2,942,104.32/1,613.98
  6. Step 6: Final answer
    x = 1,822.89

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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.