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Finding the Fourth Proportional to 2,964.35, 4,091.00 and 1,705.41

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Solution

The fourth proportional to 2,964.35, 4,091.00 and 1,705.41 is: 2,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.35 : 4,091.00 = 1,705.41 : x
  2. Step 2: Convert to fraction form
    2,964.35/4,091.00 = 1,705.41/x
  3. Step 3: Cross multiply
    2,964.35x = 4,091.00 × 1,705.41
  4. Step 4: Simplify right side
    2,964.35x = 6,976,823.78
  5. Step 5: Solve for x
    x = 6,976,823.78/2,964.35
  6. Step 6: Final answer
    x = 2,353.57

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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.