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Finding the Fourth Proportional to 2,032.48, 2,803.17 and 1,583.47

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Solution

The fourth proportional to 2,032.48, 2,803.17 and 1,583.47 is: 2,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.48 : 2,803.17 = 1,583.47 : x
  2. Step 2: Convert to fraction form
    2,032.48/2,803.17 = 1,583.47/x
  3. Step 3: Cross multiply
    2,032.48x = 2,803.17 × 1,583.47
  4. Step 4: Simplify right side
    2,032.48x = 4,438,735.60
  5. Step 5: Solve for x
    x = 4,438,735.60/2,032.48
  6. Step 6: Final answer
    x = 2,183.90

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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.