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Finding the Fourth Proportional to 1,913.82, 2,640.36 and 1,205.47

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Solution

The fourth proportional to 1,913.82, 2,640.36 and 1,205.47 is: 1,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.82 : 2,640.36 = 1,205.47 : x
  2. Step 2: Convert to fraction form
    1,913.82/2,640.36 = 1,205.47/x
  3. Step 3: Cross multiply
    1,913.82x = 2,640.36 × 1,205.47
  4. Step 4: Simplify right side
    1,913.82x = 3,182,874.77
  5. Step 5: Solve for x
    x = 3,182,874.77/1,913.82
  6. Step 6: Final answer
    x = 1,663.10

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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.