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Finding the Fourth Proportional to 1,657.85, 2,287.37 and 1,028.07

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Solution

The fourth proportional to 1,657.85, 2,287.37 and 1,028.07 is: 1,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.85 : 2,287.37 = 1,028.07 : x
  2. Step 2: Convert to fraction form
    1,657.85/2,287.37 = 1,028.07/x
  3. Step 3: Cross multiply
    1,657.85x = 2,287.37 × 1,028.07
  4. Step 4: Simplify right side
    1,657.85x = 2,351,579.05
  5. Step 5: Solve for x
    x = 2,351,579.05/1,657.85
  6. Step 6: Final answer
    x = 1,418.46

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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.