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Finding the Fourth Proportional to 1,613.91, 2,420.41 and 1,028.06

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Solution

The fourth proportional to 1,613.91, 2,420.41 and 1,028.06 is: 1,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.91 : 2,420.41 = 1,028.06 : x
  2. Step 2: Convert to fraction form
    1,613.91/2,420.41 = 1,028.06/x
  3. Step 3: Cross multiply
    1,613.91x = 2,420.41 × 1,028.06
  4. Step 4: Simplify right side
    1,613.91x = 2,488,326.70
  5. Step 5: Solve for x
    x = 2,488,326.70/1,613.91
  6. Step 6: Final answer
    x = 1,541.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.