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Finding the Fourth Proportional to 2,090.51, 3,134.54 and 792.08

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Solution

The fourth proportional to 2,090.51, 3,134.54 and 792.08 is: 1,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.51 : 3,134.54 = 792.08 : x
  2. Step 2: Convert to fraction form
    2,090.51/3,134.54 = 792.08/x
  3. Step 3: Cross multiply
    2,090.51x = 3,134.54 × 792.08
  4. Step 4: Simplify right side
    2,090.51x = 2,482,806.44
  5. Step 5: Solve for x
    x = 2,482,806.44/2,090.51
  6. Step 6: Final answer
    x = 1,187.66

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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.