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Finding the Fourth Proportional to 3,406.75, 4,701.15 and 1,990.51

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Solution

The fourth proportional to 3,406.75, 4,701.15 and 1,990.51 is: 2,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.75 : 4,701.15 = 1,990.51 : x
  2. Step 2: Convert to fraction form
    3,406.75/4,701.15 = 1,990.51/x
  3. Step 3: Cross multiply
    3,406.75x = 4,701.15 × 1,990.51
  4. Step 4: Simplify right side
    3,406.75x = 9,357,686.09
  5. Step 5: Solve for x
    x = 9,357,686.09/3,406.75
  6. Step 6: Final answer
    x = 2,746.81

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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.