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Finding the Fourth Proportional to 2,293.10, 3,164.40 and 1,348.86

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Solution

The fourth proportional to 2,293.10, 3,164.40 and 1,348.86 is: 1,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.10 : 3,164.40 = 1,348.86 : x
  2. Step 2: Convert to fraction form
    2,293.10/3,164.40 = 1,348.86/x
  3. Step 3: Cross multiply
    2,293.10x = 3,164.40 × 1,348.86
  4. Step 4: Simplify right side
    2,293.10x = 4,268,332.58
  5. Step 5: Solve for x
    x = 4,268,332.58/2,293.10
  6. Step 6: Final answer
    x = 1,861.38

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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.