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Finding the Fourth Proportional to 3,466.55, 4,783.91 and 1,894.64

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Solution

The fourth proportional to 3,466.55, 4,783.91 and 1,894.64 is: 2,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.55 : 4,783.91 = 1,894.64 : x
  2. Step 2: Convert to fraction form
    3,466.55/4,783.91 = 1,894.64/x
  3. Step 3: Cross multiply
    3,466.55x = 4,783.91 × 1,894.64
  4. Step 4: Simplify right side
    3,466.55x = 9,063,791.42
  5. Step 5: Solve for x
    x = 9,063,791.42/3,466.55
  6. Step 6: Final answer
    x = 2,614.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.