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Finding the Fourth Proportional to 1,557.83, 2,150.22 and 920.33

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Solution

The fourth proportional to 1,557.83, 2,150.22 and 920.33 is: 1,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.83 : 2,150.22 = 920.33 : x
  2. Step 2: Convert to fraction form
    1,557.83/2,150.22 = 920.33/x
  3. Step 3: Cross multiply
    1,557.83x = 2,150.22 × 920.33
  4. Step 4: Simplify right side
    1,557.83x = 1,978,911.97
  5. Step 5: Solve for x
    x = 1,978,911.97/1,557.83
  6. Step 6: Final answer
    x = 1,270.30

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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.