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Finding the Fourth Proportional to 2,090.96, 3,137.46 and 858.74

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Solution

The fourth proportional to 2,090.96, 3,137.46 and 858.74 is: 1,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.96 : 3,137.46 = 858.74 : x
  2. Step 2: Convert to fraction form
    2,090.96/3,137.46 = 858.74/x
  3. Step 3: Cross multiply
    2,090.96x = 3,137.46 × 858.74
  4. Step 4: Simplify right side
    2,090.96x = 2,694,262.40
  5. Step 5: Solve for x
    x = 2,694,262.40/2,090.96
  6. Step 6: Final answer
    x = 1,288.53

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1.5x scale

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.