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Finding the Fourth Proportional to 2,798.34, 4,197.30 and 949.50

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Solution

The fourth proportional to 2,798.34, 4,197.30 and 949.50 is: 1,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.34 : 4,197.30 = 949.50 : x
  2. Step 2: Convert to fraction form
    2,798.34/4,197.30 = 949.50/x
  3. Step 3: Cross multiply
    2,798.34x = 4,197.30 × 949.50
  4. Step 4: Simplify right side
    2,798.34x = 3,985,336.35
  5. Step 5: Solve for x
    x = 3,985,336.35/2,798.34
  6. Step 6: Final answer
    x = 1,424.18

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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.