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Finding the Fourth Proportional to 3,305.06, 4,956.24 and 1,431.06

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Solution

The fourth proportional to 3,305.06, 4,956.24 and 1,431.06 is: 2,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.06 : 4,956.24 = 1,431.06 : x
  2. Step 2: Convert to fraction form
    3,305.06/4,956.24 = 1,431.06/x
  3. Step 3: Cross multiply
    3,305.06x = 4,956.24 × 1,431.06
  4. Step 4: Simplify right side
    3,305.06x = 7,092,676.81
  5. Step 5: Solve for x
    x = 7,092,676.81/3,305.06
  6. Step 6: Final answer
    x = 2,146.01

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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.