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Finding the Fourth Proportional to 2,202.87, 3,319.74 and 2,064.45

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Solution

The fourth proportional to 2,202.87, 3,319.74 and 2,064.45 is: 3,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.87 : 3,319.74 = 2,064.45 : x
  2. Step 2: Convert to fraction form
    2,202.87/3,319.74 = 2,064.45/x
  3. Step 3: Cross multiply
    2,202.87x = 3,319.74 × 2,064.45
  4. Step 4: Simplify right side
    2,202.87x = 6,853,437.24
  5. Step 5: Solve for x
    x = 6,853,437.24/2,202.87
  6. Step 6: Final answer
    x = 3,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.