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Finding the Fourth Proportional to 3,314.58, 4,967.39 and 1,261.46

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Solution

The fourth proportional to 3,314.58, 4,967.39 and 1,261.46 is: 1,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.58 : 4,967.39 = 1,261.46 : x
  2. Step 2: Convert to fraction form
    3,314.58/4,967.39 = 1,261.46/x
  3. Step 3: Cross multiply
    3,314.58x = 4,967.39 × 1,261.46
  4. Step 4: Simplify right side
    3,314.58x = 6,266,163.79
  5. Step 5: Solve for x
    x = 6,266,163.79/3,314.58
  6. Step 6: Final answer
    x = 1,890.49

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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.