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Finding the Fourth Proportional to 3,405.50, 4,699.59 and 2,165.66

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Solution

The fourth proportional to 3,405.50, 4,699.59 and 2,165.66 is: 2,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.50 : 4,699.59 = 2,165.66 : x
  2. Step 2: Convert to fraction form
    3,405.50/4,699.59 = 2,165.66/x
  3. Step 3: Cross multiply
    3,405.50x = 4,699.59 × 2,165.66
  4. Step 4: Simplify right side
    3,405.50x = 10,177,714.08
  5. Step 5: Solve for x
    x = 10,177,714.08/3,405.50
  6. Step 6: Final answer
    x = 2,988.61

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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.