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Finding the Fourth Proportional to 3,674.98, 5,512.74 and 2,032.30

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Solution

The fourth proportional to 3,674.98, 5,512.74 and 2,032.30 is: 3,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.98 : 5,512.74 = 2,032.30 : x
  2. Step 2: Convert to fraction form
    3,674.98/5,512.74 = 2,032.30/x
  3. Step 3: Cross multiply
    3,674.98x = 5,512.74 × 2,032.30
  4. Step 4: Simplify right side
    3,674.98x = 11,203,541.50
  5. Step 5: Solve for x
    x = 11,203,541.50/3,674.98
  6. Step 6: Final answer
    x = 3,048.60

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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.