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Finding the Fourth Proportional to 1,917.33, 2,645.22 and 1,420.80

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Solution

The fourth proportional to 1,917.33, 2,645.22 and 1,420.80 is: 1,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.33 : 2,645.22 = 1,420.80 : x
  2. Step 2: Convert to fraction form
    1,917.33/2,645.22 = 1,420.80/x
  3. Step 3: Cross multiply
    1,917.33x = 2,645.22 × 1,420.80
  4. Step 4: Simplify right side
    1,917.33x = 3,758,315.35
  5. Step 5: Solve for x
    x = 3,758,315.35/1,917.33
  6. Step 6: Final answer
    x = 1,960.19

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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.