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Finding the Fourth Proportional to 1,917.32, 2,646.19 and 1,171.71

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Solution

The fourth proportional to 1,917.32, 2,646.19 and 1,171.71 is: 1,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.32 : 2,646.19 = 1,171.71 : x
  2. Step 2: Convert to fraction form
    1,917.32/2,646.19 = 1,171.71/x
  3. Step 3: Cross multiply
    1,917.32x = 2,646.19 × 1,171.71
  4. Step 4: Simplify right side
    1,917.32x = 3,100,567.28
  5. Step 5: Solve for x
    x = 3,100,567.28/1,917.32
  6. Step 6: Final answer
    x = 1,617.14

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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.