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Finding the Fourth Proportional to 2,705.06, 4,058.18 and 830.96

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Solution

The fourth proportional to 2,705.06, 4,058.18 and 830.96 is: 1,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.06 : 4,058.18 = 830.96 : x
  2. Step 2: Convert to fraction form
    2,705.06/4,058.18 = 830.96/x
  3. Step 3: Cross multiply
    2,705.06x = 4,058.18 × 830.96
  4. Step 4: Simplify right side
    2,705.06x = 3,372,185.25
  5. Step 5: Solve for x
    x = 3,372,185.25/2,705.06
  6. Step 6: Final answer
    x = 1,246.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.