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Finding the Fourth Proportional to 3,406.69, 4,701.66 and 2,080.11

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Solution

The fourth proportional to 3,406.69, 4,701.66 and 2,080.11 is: 2,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.69 : 4,701.66 = 2,080.11 : x
  2. Step 2: Convert to fraction form
    3,406.69/4,701.66 = 2,080.11/x
  3. Step 3: Cross multiply
    3,406.69x = 4,701.66 × 2,080.11
  4. Step 4: Simplify right side
    3,406.69x = 9,779,969.98
  5. Step 5: Solve for x
    x = 9,779,969.98/3,406.69
  6. Step 6: Final answer
    x = 2,870.82

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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.