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Finding the Fourth Proportional to 4,046.55, 6,069 and 1,448.88

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Solution

The fourth proportional to 4,046.55, 6,069 and 1,448.88 is: 2,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.55 : 6,069 = 1,448.88 : x
  2. Step 2: Convert to fraction form
    4,046.55/6,069 = 1,448.88/x
  3. Step 3: Cross multiply
    4,046.55x = 6,069 × 1,448.88
  4. Step 4: Simplify right side
    4,046.55x = 8,793,252.72
  5. Step 5: Solve for x
    x = 8,793,252.72/4,046.55
  6. Step 6: Final answer
    x = 2,173.02

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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.