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Finding the Fourth Proportional to 1,613.56, 2,228.27 and 1,390.42

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Solution

The fourth proportional to 1,613.56, 2,228.27 and 1,390.42 is: 1,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.56 : 2,228.27 = 1,390.42 : x
  2. Step 2: Convert to fraction form
    1,613.56/2,228.27 = 1,390.42/x
  3. Step 3: Cross multiply
    1,613.56x = 2,228.27 × 1,390.42
  4. Step 4: Simplify right side
    1,613.56x = 3,098,224.25
  5. Step 5: Solve for x
    x = 3,098,224.25/1,613.56
  6. Step 6: Final answer
    x = 1,920.12

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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.