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Finding the Fourth Proportional to 2,296.58, 3,445.01 and 979.58

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Solution

The fourth proportional to 2,296.58, 3,445.01 and 979.58 is: 1,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.58 : 3,445.01 = 979.58 : x
  2. Step 2: Convert to fraction form
    2,296.58/3,445.01 = 979.58/x
  3. Step 3: Cross multiply
    2,296.58x = 3,445.01 × 979.58
  4. Step 4: Simplify right side
    2,296.58x = 3,374,640.77
  5. Step 5: Solve for x
    x = 3,374,640.77/2,296.58
  6. Step 6: Final answer
    x = 1,469.42

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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.