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Finding the Fourth Proportional to 1,774.31, 2,659.74 and 941.15

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Solution

The fourth proportional to 1,774.31, 2,659.74 and 941.15 is: 1,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.31 : 2,659.74 = 941.15 : x
  2. Step 2: Convert to fraction form
    1,774.31/2,659.74 = 941.15/x
  3. Step 3: Cross multiply
    1,774.31x = 2,659.74 × 941.15
  4. Step 4: Simplify right side
    1,774.31x = 2,503,217.42
  5. Step 5: Solve for x
    x = 2,503,217.42/1,774.31
  6. Step 6: Final answer
    x = 1,410.82

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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.