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Finding the Fourth Proportional to 1,657.33, 2,287.88 and 985.09

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Solution

The fourth proportional to 1,657.33, 2,287.88 and 985.09 is: 1,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.33 : 2,287.88 = 985.09 : x
  2. Step 2: Convert to fraction form
    1,657.33/2,287.88 = 985.09/x
  3. Step 3: Cross multiply
    1,657.33x = 2,287.88 × 985.09
  4. Step 4: Simplify right side
    1,657.33x = 2,253,762.78
  5. Step 5: Solve for x
    x = 2,253,762.78/1,657.33
  6. Step 6: Final answer
    x = 1,359.88

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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.