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Finding the Fourth Proportional to 2,337.69, 3,226.02 and 1,343.01

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Solution

The fourth proportional to 2,337.69, 3,226.02 and 1,343.01 is: 1,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.69 : 3,226.02 = 1,343.01 : x
  2. Step 2: Convert to fraction form
    2,337.69/3,226.02 = 1,343.01/x
  3. Step 3: Cross multiply
    2,337.69x = 3,226.02 × 1,343.01
  4. Step 4: Simplify right side
    2,337.69x = 4,332,577.12
  5. Step 5: Solve for x
    x = 4,332,577.12/2,337.69
  6. Step 6: Final answer
    x = 1,853.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.