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Finding the Fourth Proportional to 3,106.70, 4,287.86 and 1,781.30

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Solution

The fourth proportional to 3,106.70, 4,287.86 and 1,781.30 is: 2,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.70 : 4,287.86 = 1,781.30 : x
  2. Step 2: Convert to fraction form
    3,106.70/4,287.86 = 1,781.30/x
  3. Step 3: Cross multiply
    3,106.70x = 4,287.86 × 1,781.30
  4. Step 4: Simplify right side
    3,106.70x = 7,637,965.02
  5. Step 5: Solve for x
    x = 7,637,965.02/3,106.70
  6. Step 6: Final answer
    x = 2,458.55

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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.