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Finding the Fourth Proportional to 1,917.51, 2,646.23 and 1,078.19

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Solution

The fourth proportional to 1,917.51, 2,646.23 and 1,078.19 is: 1,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.51 : 2,646.23 = 1,078.19 : x
  2. Step 2: Convert to fraction form
    1,917.51/2,646.23 = 1,078.19/x
  3. Step 3: Cross multiply
    1,917.51x = 2,646.23 × 1,078.19
  4. Step 4: Simplify right side
    1,917.51x = 2,853,138.72
  5. Step 5: Solve for x
    x = 2,853,138.72/1,917.51
  6. Step 6: Final answer
    x = 1,487.94

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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.