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Finding the Fourth Proportional to 2,810.50, 4,214.84 and 1,329.49

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Solution

The fourth proportional to 2,810.50, 4,214.84 and 1,329.49 is: 1,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.50 : 4,214.84 = 1,329.49 : x
  2. Step 2: Convert to fraction form
    2,810.50/4,214.84 = 1,329.49/x
  3. Step 3: Cross multiply
    2,810.50x = 4,214.84 × 1,329.49
  4. Step 4: Simplify right side
    2,810.50x = 5,603,574.40
  5. Step 5: Solve for x
    x = 5,603,574.40/2,810.50
  6. Step 6: Final answer
    x = 1,993.80

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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.