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Finding the Fourth Proportional to 3,106.09, 4,659.14 and 914.77

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Solution

The fourth proportional to 3,106.09, 4,659.14 and 914.77 is: 1,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.09 : 4,659.14 = 914.77 : x
  2. Step 2: Convert to fraction form
    3,106.09/4,659.14 = 914.77/x
  3. Step 3: Cross multiply
    3,106.09x = 4,659.14 × 914.77
  4. Step 4: Simplify right side
    3,106.09x = 4,262,025.28
  5. Step 5: Solve for x
    x = 4,262,025.28/3,106.09
  6. Step 6: Final answer
    x = 1,372.15

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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.