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Finding the Fourth Proportional to 3,349.45, 5,023.74 and 884.45

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Solution

The fourth proportional to 3,349.45, 5,023.74 and 884.45 is: 1,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.45 : 5,023.74 = 884.45 : x
  2. Step 2: Convert to fraction form
    3,349.45/5,023.74 = 884.45/x
  3. Step 3: Cross multiply
    3,349.45x = 5,023.74 × 884.45
  4. Step 4: Simplify right side
    3,349.45x = 4,443,259.40
  5. Step 5: Solve for x
    x = 4,443,259.40/3,349.45
  6. Step 6: Final answer
    x = 1,326.56

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1.5x scale

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.