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Finding the Fourth Proportional to 2,041.77, 2,817.46 and 1,202.34

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Solution

The fourth proportional to 2,041.77, 2,817.46 and 1,202.34 is: 1,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.77 : 2,817.46 = 1,202.34 : x
  2. Step 2: Convert to fraction form
    2,041.77/2,817.46 = 1,202.34/x
  3. Step 3: Cross multiply
    2,041.77x = 2,817.46 × 1,202.34
  4. Step 4: Simplify right side
    2,041.77x = 3,387,544.86
  5. Step 5: Solve for x
    x = 3,387,544.86/2,041.77
  6. Step 6: Final answer
    x = 1,659.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.