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Finding the Fourth Proportional to 1,916.54, 2,643.87 and 1,286.26

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Solution

The fourth proportional to 1,916.54, 2,643.87 and 1,286.26 is: 1,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.54 : 2,643.87 = 1,286.26 : x
  2. Step 2: Convert to fraction form
    1,916.54/2,643.87 = 1,286.26/x
  3. Step 3: Cross multiply
    1,916.54x = 2,643.87 × 1,286.26
  4. Step 4: Simplify right side
    1,916.54x = 3,400,704.23
  5. Step 5: Solve for x
    x = 3,400,704.23/1,916.54
  6. Step 6: Final answer
    x = 1,774.40

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Why These Related Problems?

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