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Finding the Fourth Proportional to 3,106.17, 4,659.44 and 914.94

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Solution

The fourth proportional to 3,106.17, 4,659.44 and 914.94 is: 1,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.17 : 4,659.44 = 914.94 : x
  2. Step 2: Convert to fraction form
    3,106.17/4,659.44 = 914.94/x
  3. Step 3: Cross multiply
    3,106.17x = 4,659.44 × 914.94
  4. Step 4: Simplify right side
    3,106.17x = 4,263,103.46
  5. Step 5: Solve for x
    x = 4,263,103.46/3,106.17
  6. Step 6: Final answer
    x = 1,372.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.