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Finding the Fourth Proportional to 1,613.65, 2,226.54 and 1,364.44

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Solution

The fourth proportional to 1,613.65, 2,226.54 and 1,364.44 is: 1,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.65 : 2,226.54 = 1,364.44 : x
  2. Step 2: Convert to fraction form
    1,613.65/2,226.54 = 1,364.44/x
  3. Step 3: Cross multiply
    1,613.65x = 2,226.54 × 1,364.44
  4. Step 4: Simplify right side
    1,613.65x = 3,037,980.24
  5. Step 5: Solve for x
    x = 3,037,980.24/1,613.65
  6. Step 6: Final answer
    x = 1,882.68

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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.