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Finding the Fourth Proportional to 1,657.83, 2,287.15 and 949.29

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Solution

The fourth proportional to 1,657.83, 2,287.15 and 949.29 is: 1,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.83 : 2,287.15 = 949.29 : x
  2. Step 2: Convert to fraction form
    1,657.83/2,287.15 = 949.29/x
  3. Step 3: Cross multiply
    1,657.83x = 2,287.15 × 949.29
  4. Step 4: Simplify right side
    1,657.83x = 2,171,168.62
  5. Step 5: Solve for x
    x = 2,171,168.62/1,657.83
  6. Step 6: Final answer
    x = 1,309.64

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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.