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Finding the Fourth Proportional to 3,345.92, 5,019 and 1,697.84

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Solution

The fourth proportional to 3,345.92, 5,019 and 1,697.84 is: 2,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.92 : 5,019 = 1,697.84 : x
  2. Step 2: Convert to fraction form
    3,345.92/5,019 = 1,697.84/x
  3. Step 3: Cross multiply
    3,345.92x = 5,019 × 1,697.84
  4. Step 4: Simplify right side
    3,345.92x = 8,521,458.96
  5. Step 5: Solve for x
    x = 8,521,458.96/3,345.92
  6. Step 6: Final answer
    x = 2,546.82

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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.