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Finding the Fourth Proportional to 3,106.58, 4,287.02 and 1,743.84

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Solution

The fourth proportional to 3,106.58, 4,287.02 and 1,743.84 is: 2,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.58 : 4,287.02 = 1,743.84 : x
  2. Step 2: Convert to fraction form
    3,106.58/4,287.02 = 1,743.84/x
  3. Step 3: Cross multiply
    3,106.58x = 4,287.02 × 1,743.84
  4. Step 4: Simplify right side
    3,106.58x = 7,475,876.96
  5. Step 5: Solve for x
    x = 7,475,876.96/3,106.58
  6. Step 6: Final answer
    x = 2,406.47

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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.