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Finding the Fourth Proportional to 3,405.66, 4,700.43 and 2,080.14

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Solution

The fourth proportional to 3,405.66, 4,700.43 and 2,080.14 is: 2,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.66 : 4,700.43 = 2,080.14 : x
  2. Step 2: Convert to fraction form
    3,405.66/4,700.43 = 2,080.14/x
  3. Step 3: Cross multiply
    3,405.66x = 4,700.43 × 2,080.14
  4. Step 4: Simplify right side
    3,405.66x = 9,777,552.46
  5. Step 5: Solve for x
    x = 9,777,552.46/3,405.66
  6. Step 6: Final answer
    x = 2,870.97

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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.