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Finding the Fourth Proportional to 2,043.14, 3,063.95 and 810.14

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Solution

The fourth proportional to 2,043.14, 3,063.95 and 810.14 is: 1,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.14 : 3,063.95 = 810.14 : x
  2. Step 2: Convert to fraction form
    2,043.14/3,063.95 = 810.14/x
  3. Step 3: Cross multiply
    2,043.14x = 3,063.95 × 810.14
  4. Step 4: Simplify right side
    2,043.14x = 2,482,228.45
  5. Step 5: Solve for x
    x = 2,482,228.45/2,043.14
  6. Step 6: Final answer
    x = 1,214.91

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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.