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Finding the Fourth Proportional to 2,349.92, 3,242.76 and 1,301.96

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Solution

The fourth proportional to 2,349.92, 3,242.76 and 1,301.96 is: 1,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.92 : 3,242.76 = 1,301.96 : x
  2. Step 2: Convert to fraction form
    2,349.92/3,242.76 = 1,301.96/x
  3. Step 3: Cross multiply
    2,349.92x = 3,242.76 × 1,301.96
  4. Step 4: Simplify right side
    2,349.92x = 4,221,943.81
  5. Step 5: Solve for x
    x = 4,221,943.81/2,349.92
  6. Step 6: Final answer
    x = 1,796.63

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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.