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Finding the Fourth Proportional to 3,098.42, 4,649.22 and 2,059.14

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Solution

The fourth proportional to 3,098.42, 4,649.22 and 2,059.14 is: 3,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.42 : 4,649.22 = 2,059.14 : x
  2. Step 2: Convert to fraction form
    3,098.42/4,649.22 = 2,059.14/x
  3. Step 3: Cross multiply
    3,098.42x = 4,649.22 × 2,059.14
  4. Step 4: Simplify right side
    3,098.42x = 9,573,394.87
  5. Step 5: Solve for x
    x = 9,573,394.87/3,098.42
  6. Step 6: Final answer
    x = 3,089.77

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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.