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Finding the Fourth Proportional to 3,210.73, 4,816.23 and 1,019.41

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Solution

The fourth proportional to 3,210.73, 4,816.23 and 1,019.41 is: 1,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.73 : 4,816.23 = 1,019.41 : x
  2. Step 2: Convert to fraction form
    3,210.73/4,816.23 = 1,019.41/x
  3. Step 3: Cross multiply
    3,210.73x = 4,816.23 × 1,019.41
  4. Step 4: Simplify right side
    3,210.73x = 4,909,713.02
  5. Step 5: Solve for x
    x = 4,909,713.02/3,210.73
  6. Step 6: Final answer
    x = 1,529.16

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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.