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Finding the Fourth Proportional to 3,364.70, 4,642.71 and 2,105.36

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Solution

The fourth proportional to 3,364.70, 4,642.71 and 2,105.36 is: 2,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.70 : 4,642.71 = 2,105.36 : x
  2. Step 2: Convert to fraction form
    3,364.70/4,642.71 = 2,105.36/x
  3. Step 3: Cross multiply
    3,364.70x = 4,642.71 × 2,105.36
  4. Step 4: Simplify right side
    3,364.70x = 9,774,575.93
  5. Step 5: Solve for x
    x = 9,774,575.93/3,364.70
  6. Step 6: Final answer
    x = 2,905.04

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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.