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Finding the Fourth Proportional to 3,314.14, 4,574.19 and 1,917.34

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Solution

The fourth proportional to 3,314.14, 4,574.19 and 1,917.34 is: 2,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.14 : 4,574.19 = 1,917.34 : x
  2. Step 2: Convert to fraction form
    3,314.14/4,574.19 = 1,917.34/x
  3. Step 3: Cross multiply
    3,314.14x = 4,574.19 × 1,917.34
  4. Step 4: Simplify right side
    3,314.14x = 8,770,277.45
  5. Step 5: Solve for x
    x = 8,770,277.45/3,314.14
  6. Step 6: Final answer
    x = 2,646.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.