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Finding the Fourth Proportional to 3,210.93, 4,816.50 and 1,019.61

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Solution

The fourth proportional to 3,210.93, 4,816.50 and 1,019.61 is: 1,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.93 : 4,816.50 = 1,019.61 : x
  2. Step 2: Convert to fraction form
    3,210.93/4,816.50 = 1,019.61/x
  3. Step 3: Cross multiply
    3,210.93x = 4,816.50 × 1,019.61
  4. Step 4: Simplify right side
    3,210.93x = 4,910,951.57
  5. Step 5: Solve for x
    x = 4,910,951.57/3,210.93
  6. Step 6: Final answer
    x = 1,529.45

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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.