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Finding the Fourth Proportional to 2,041.03, 3,062.01 and 654.44

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Solution

The fourth proportional to 2,041.03, 3,062.01 and 654.44 is: 981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.03 : 3,062.01 = 654.44 : x
  2. Step 2: Convert to fraction form
    2,041.03/3,062.01 = 654.44/x
  3. Step 3: Cross multiply
    2,041.03x = 3,062.01 × 654.44
  4. Step 4: Simplify right side
    2,041.03x = 2,003,901.82
  5. Step 5: Solve for x
    x = 2,003,901.82/2,041.03
  6. Step 6: Final answer
    x = 981.81

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Why These Related Problems?

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