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Finding the Fourth Proportional to 3,386.82, 4,674.24 and 1,894.80

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Solution

The fourth proportional to 3,386.82, 4,674.24 and 1,894.80 is: 2,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.82 : 4,674.24 = 1,894.80 : x
  2. Step 2: Convert to fraction form
    3,386.82/4,674.24 = 1,894.80/x
  3. Step 3: Cross multiply
    3,386.82x = 4,674.24 × 1,894.80
  4. Step 4: Simplify right side
    3,386.82x = 8,856,749.95
  5. Step 5: Solve for x
    x = 8,856,749.95/3,386.82
  6. Step 6: Final answer
    x = 2,615.06

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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.