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Finding the Fourth Proportional to 1,917.78, 2,862.67 and 1,645.62

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Solution

The fourth proportional to 1,917.78, 2,862.67 and 1,645.62 is: 2,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.78 : 2,862.67 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    1,917.78/2,862.67 = 1,645.62/x
  3. Step 3: Cross multiply
    1,917.78x = 2,862.67 × 1,645.62
  4. Step 4: Simplify right side
    1,917.78x = 4,710,853.68
  5. Step 5: Solve for x
    x = 4,710,853.68/1,917.78
  6. Step 6: Final answer
    x = 2,456.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.