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Finding the Fourth Proportional to 1,112.01, 1,657.87 and 1,083.60

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Solution

The fourth proportional to 1,112.01, 1,657.87 and 1,083.60 is: 1,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.01 : 1,657.87 = 1,083.60 : x
  2. Step 2: Convert to fraction form
    1,112.01/1,657.87 = 1,083.60/x
  3. Step 3: Cross multiply
    1,112.01x = 1,657.87 × 1,083.60
  4. Step 4: Simplify right side
    1,112.01x = 1,796,474.79
  5. Step 5: Solve for x
    x = 1,796,474.79/1,112.01
  6. Step 6: Final answer
    x = 1,615.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.