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Finding the Fourth Proportional to 3,210.75, 4,430.78 and 1,794.46

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Solution

The fourth proportional to 3,210.75, 4,430.78 and 1,794.46 is: 2,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.75 : 4,430.78 = 1,794.46 : x
  2. Step 2: Convert to fraction form
    3,210.75/4,430.78 = 1,794.46/x
  3. Step 3: Cross multiply
    3,210.75x = 4,430.78 × 1,794.46
  4. Step 4: Simplify right side
    3,210.75x = 7,950,857.48
  5. Step 5: Solve for x
    x = 7,950,857.48/3,210.75
  6. Step 6: Final answer
    x = 2,476.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.