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Finding the Fourth Proportional to 3,460.14, 4,774.14 and 1,967.76

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Solution

The fourth proportional to 3,460.14, 4,774.14 and 1,967.76 is: 2,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.14 : 4,774.14 = 1,967.76 : x
  2. Step 2: Convert to fraction form
    3,460.14/4,774.14 = 1,967.76/x
  3. Step 3: Cross multiply
    3,460.14x = 4,774.14 × 1,967.76
  4. Step 4: Simplify right side
    3,460.14x = 9,394,361.73
  5. Step 5: Solve for x
    x = 9,394,361.73/3,460.14
  6. Step 6: Final answer
    x = 2,715.02

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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.