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Finding the Fourth Proportional to 3,684.92, 5,523.28 and 1,343.00

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Solution

The fourth proportional to 3,684.92, 5,523.28 and 1,343.00 is: 2,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.92 : 5,523.28 = 1,343.00 : x
  2. Step 2: Convert to fraction form
    3,684.92/5,523.28 = 1,343.00/x
  3. Step 3: Cross multiply
    3,684.92x = 5,523.28 × 1,343.00
  4. Step 4: Simplify right side
    3,684.92x = 7,417,775.49
  5. Step 5: Solve for x
    x = 7,417,775.49/3,684.92
  6. Step 6: Final answer
    x = 2,013.01

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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.