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Finding the Fourth Proportional to 3,466.89, 4,784.31 and 2,224.89

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Solution

The fourth proportional to 3,466.89, 4,784.31 and 2,224.89 is: 3,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.89 : 4,784.31 = 2,224.89 : x
  2. Step 2: Convert to fraction form
    3,466.89/4,784.31 = 2,224.89/x
  3. Step 3: Cross multiply
    3,466.89x = 4,784.31 × 2,224.89
  4. Step 4: Simplify right side
    3,466.89x = 10,644,563.48
  5. Step 5: Solve for x
    x = 10,644,563.48/3,466.89
  6. Step 6: Final answer
    x = 3,070.35

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1.5x scale

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.