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Finding the Fourth Proportional to 2,186.32, 3,279.89 and 705.93

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Solution

The fourth proportional to 2,186.32, 3,279.89 and 705.93 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.32 : 3,279.89 = 705.93 : x
  2. Step 2: Convert to fraction form
    2,186.32/3,279.89 = 705.93/x
  3. Step 3: Cross multiply
    2,186.32x = 3,279.89 × 705.93
  4. Step 4: Simplify right side
    2,186.32x = 2,315,387.58
  5. Step 5: Solve for x
    x = 2,315,387.58/2,186.32
  6. Step 6: Final answer
    x = 1,059.04

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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.