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Finding the Fourth Proportional to 3,409.64, 4,705.50 and 1,917.56

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Solution

The fourth proportional to 3,409.64, 4,705.50 and 1,917.56 is: 2,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.64 : 4,705.50 = 1,917.56 : x
  2. Step 2: Convert to fraction form
    3,409.64/4,705.50 = 1,917.56/x
  3. Step 3: Cross multiply
    3,409.64x = 4,705.50 × 1,917.56
  4. Step 4: Simplify right side
    3,409.64x = 9,023,078.58
  5. Step 5: Solve for x
    x = 9,023,078.58/3,409.64
  6. Step 6: Final answer
    x = 2,646.34

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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.