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Finding the Fourth Proportional to 2,702.62, 3,726.21 and 1,863.64

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Solution

The fourth proportional to 2,702.62, 3,726.21 and 1,863.64 is: 2,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.62 : 3,726.21 = 1,863.64 : x
  2. Step 2: Convert to fraction form
    2,702.62/3,726.21 = 1,863.64/x
  3. Step 3: Cross multiply
    2,702.62x = 3,726.21 × 1,863.64
  4. Step 4: Simplify right side
    2,702.62x = 6,944,314.00
  5. Step 5: Solve for x
    x = 6,944,314.00/2,702.62
  6. Step 6: Final answer
    x = 2,569.47

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1.5x scale

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.