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Finding the Fourth Proportional to 3,094.34, 4,643.31 and 1,147.88

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Solution

The fourth proportional to 3,094.34, 4,643.31 and 1,147.88 is: 1,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.34 : 4,643.31 = 1,147.88 : x
  2. Step 2: Convert to fraction form
    3,094.34/4,643.31 = 1,147.88/x
  3. Step 3: Cross multiply
    3,094.34x = 4,643.31 × 1,147.88
  4. Step 4: Simplify right side
    3,094.34x = 5,329,962.68
  5. Step 5: Solve for x
    x = 5,329,962.68/3,094.34
  6. Step 6: Final answer
    x = 1,722.49

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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.