Home / 2,551.94-3,827.45-702.82

Finding the Fourth Proportional to 2,551.94, 3,827.45 and 702.82

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Solution

The fourth proportional to 2,551.94, 3,827.45 and 702.82 is: 1,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.94 : 3,827.45 = 702.82 : x
  2. Step 2: Convert to fraction form
    2,551.94/3,827.45 = 702.82/x
  3. Step 3: Cross multiply
    2,551.94x = 3,827.45 × 702.82
  4. Step 4: Simplify right side
    2,551.94x = 2,689,989.27
  5. Step 5: Solve for x
    x = 2,689,989.27/2,551.94
  6. Step 6: Final answer
    x = 1,054.10

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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.