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Finding the Fourth Proportional to 3,323.02, 4,980.02 and 1,680.70

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Solution

The fourth proportional to 3,323.02, 4,980.02 and 1,680.70 is: 2,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.02 : 4,980.02 = 1,680.70 : x
  2. Step 2: Convert to fraction form
    3,323.02/4,980.02 = 1,680.70/x
  3. Step 3: Cross multiply
    3,323.02x = 4,980.02 × 1,680.70
  4. Step 4: Simplify right side
    3,323.02x = 8,369,919.61
  5. Step 5: Solve for x
    x = 8,369,919.61/3,323.02
  6. Step 6: Final answer
    x = 2,518.77

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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.