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Finding the Fourth Proportional to 3,098.57, 4,648.28 and 906.98

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Solution

The fourth proportional to 3,098.57, 4,648.28 and 906.98 is: 1,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.57 : 4,648.28 = 906.98 : x
  2. Step 2: Convert to fraction form
    3,098.57/4,648.28 = 906.98/x
  3. Step 3: Cross multiply
    3,098.57x = 4,648.28 × 906.98
  4. Step 4: Simplify right side
    3,098.57x = 4,215,869.22
  5. Step 5: Solve for x
    x = 4,215,869.22/3,098.57
  6. Step 6: Final answer
    x = 1,360.59

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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.