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Finding the Fourth Proportional to 2,338.96, 3,508.46 and 607.59

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Solution

The fourth proportional to 2,338.96, 3,508.46 and 607.59 is: 911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.96 : 3,508.46 = 607.59 : x
  2. Step 2: Convert to fraction form
    2,338.96/3,508.46 = 607.59/x
  3. Step 3: Cross multiply
    2,338.96x = 3,508.46 × 607.59
  4. Step 4: Simplify right side
    2,338.96x = 2,131,705.21
  5. Step 5: Solve for x
    x = 2,131,705.21/2,338.96
  6. Step 6: Final answer
    x = 911.39

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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.