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Finding the Fourth Proportional to 2,296.60, 3,423.24 and 2,080.60

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Solution

The fourth proportional to 2,296.60, 3,423.24 and 2,080.60 is: 3,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.60 : 3,423.24 = 2,080.60 : x
  2. Step 2: Convert to fraction form
    2,296.60/3,423.24 = 2,080.60/x
  3. Step 3: Cross multiply
    2,296.60x = 3,423.24 × 2,080.60
  4. Step 4: Simplify right side
    2,296.60x = 7,122,393.14
  5. Step 5: Solve for x
    x = 7,122,393.14/2,296.60
  6. Step 6: Final answer
    x = 3,101.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.