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Finding the Fourth Proportional to 2,551.74, 3,827.64 and 702.87

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Solution

The fourth proportional to 2,551.74, 3,827.64 and 702.87 is: 1,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.74 : 3,827.64 = 702.87 : x
  2. Step 2: Convert to fraction form
    2,551.74/3,827.64 = 702.87/x
  3. Step 3: Cross multiply
    2,551.74x = 3,827.64 × 702.87
  4. Step 4: Simplify right side
    2,551.74x = 2,690,333.33
  5. Step 5: Solve for x
    x = 2,690,333.33/2,551.74
  6. Step 6: Final answer
    x = 1,054.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.