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Finding the Fourth Proportional to 3,092.83, 4,268.28 and 1,834.63

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Solution

The fourth proportional to 3,092.83, 4,268.28 and 1,834.63 is: 2,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.83 : 4,268.28 = 1,834.63 : x
  2. Step 2: Convert to fraction form
    3,092.83/4,268.28 = 1,834.63/x
  3. Step 3: Cross multiply
    3,092.83x = 4,268.28 × 1,834.63
  4. Step 4: Simplify right side
    3,092.83x = 7,830,714.54
  5. Step 5: Solve for x
    x = 7,830,714.54/3,092.83
  6. Step 6: Final answer
    x = 2,531.89

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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.