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Finding the Fourth Proportional to 1,958.87, 2,697.26 and 1,802.14

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Solution

The fourth proportional to 1,958.87, 2,697.26 and 1,802.14 is: 2,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.87 : 2,697.26 = 1,802.14 : x
  2. Step 2: Convert to fraction form
    1,958.87/2,697.26 = 1,802.14/x
  3. Step 3: Cross multiply
    1,958.87x = 2,697.26 × 1,802.14
  4. Step 4: Simplify right side
    1,958.87x = 4,860,824.38
  5. Step 5: Solve for x
    x = 4,860,824.38/1,958.87
  6. Step 6: Final answer
    x = 2,481.44

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1.5x scale

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.