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Finding the Fourth Proportional to 2,686.16, 3,702.31 and 1,845.38

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Solution

The fourth proportional to 2,686.16, 3,702.31 and 1,845.38 is: 2,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.16 : 3,702.31 = 1,845.38 : x
  2. Step 2: Convert to fraction form
    2,686.16/3,702.31 = 1,845.38/x
  3. Step 3: Cross multiply
    2,686.16x = 3,702.31 × 1,845.38
  4. Step 4: Simplify right side
    2,686.16x = 6,832,173.47
  5. Step 5: Solve for x
    x = 6,832,173.47/2,686.16
  6. Step 6: Final answer
    x = 2,543.47

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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.