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Finding the Fourth Proportional to 1,930.08, 2,658.72 and 1,649.44

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Solution

The fourth proportional to 1,930.08, 2,658.72 and 1,649.44 is: 2,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.08 : 2,658.72 = 1,649.44 : x
  2. Step 2: Convert to fraction form
    1,930.08/2,658.72 = 1,649.44/x
  3. Step 3: Cross multiply
    1,930.08x = 2,658.72 × 1,649.44
  4. Step 4: Simplify right side
    1,930.08x = 4,385,399.12
  5. Step 5: Solve for x
    x = 4,385,399.12/1,930.08
  6. Step 6: Final answer
    x = 2,272.13

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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.