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Finding the Fourth Proportional to 3,098.25, 4,646.46 and 906.46

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Solution

The fourth proportional to 3,098.25, 4,646.46 and 906.46 is: 1,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.25 : 4,646.46 = 906.46 : x
  2. Step 2: Convert to fraction form
    3,098.25/4,646.46 = 906.46/x
  3. Step 3: Cross multiply
    3,098.25x = 4,646.46 × 906.46
  4. Step 4: Simplify right side
    3,098.25x = 4,211,821.91
  5. Step 5: Solve for x
    x = 4,211,821.91/3,098.25
  6. Step 6: Final answer
    x = 1,359.42

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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.