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Finding the Fourth Proportional to 1,613.98, 2,228.12 and 1,142.25

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Solution

The fourth proportional to 1,613.98, 2,228.12 and 1,142.25 is: 1,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.98 : 2,228.12 = 1,142.25 : x
  2. Step 2: Convert to fraction form
    1,613.98/2,228.12 = 1,142.25/x
  3. Step 3: Cross multiply
    1,613.98x = 2,228.12 × 1,142.25
  4. Step 4: Simplify right side
    1,613.98x = 2,545,070.07
  5. Step 5: Solve for x
    x = 2,545,070.07/1,613.98
  6. Step 6: Final answer
    x = 1,576.89

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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.