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Finding the Fourth Proportional to 2,041.83, 3,062.34 and 871.60

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Solution

The fourth proportional to 2,041.83, 3,062.34 and 871.60 is: 1,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.83 : 3,062.34 = 871.60 : x
  2. Step 2: Convert to fraction form
    2,041.83/3,062.34 = 871.60/x
  3. Step 3: Cross multiply
    2,041.83x = 3,062.34 × 871.60
  4. Step 4: Simplify right side
    2,041.83x = 2,669,135.54
  5. Step 5: Solve for x
    x = 2,669,135.54/2,041.83
  6. Step 6: Final answer
    x = 1,307.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.