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Finding the Fourth Proportional to 2,043.46, 3,065.01 and 810.55

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Solution

The fourth proportional to 2,043.46, 3,065.01 and 810.55 is: 1,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.46 : 3,065.01 = 810.55 : x
  2. Step 2: Convert to fraction form
    2,043.46/3,065.01 = 810.55/x
  3. Step 3: Cross multiply
    2,043.46x = 3,065.01 × 810.55
  4. Step 4: Simplify right side
    2,043.46x = 2,484,339.80
  5. Step 5: Solve for x
    x = 2,484,339.80/2,043.46
  6. Step 6: Final answer
    x = 1,215.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.