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Finding the Fourth Proportional to 3,094.56, 4,641.77 and 754.58

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Solution

The fourth proportional to 3,094.56, 4,641.77 and 754.58 is: 1,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.56 : 4,641.77 = 754.58 : x
  2. Step 2: Convert to fraction form
    3,094.56/4,641.77 = 754.58/x
  3. Step 3: Cross multiply
    3,094.56x = 4,641.77 × 754.58
  4. Step 4: Simplify right side
    3,094.56x = 3,502,559.82
  5. Step 5: Solve for x
    x = 3,502,559.82/3,094.56
  6. Step 6: Final answer
    x = 1,131.84

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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.