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Finding the Fourth Proportional to 1,846.94, 2,559.79 and 1,812.38

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Solution

The fourth proportional to 1,846.94, 2,559.79 and 1,812.38 is: 2,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.94 : 2,559.79 = 1,812.38 : x
  2. Step 2: Convert to fraction form
    1,846.94/2,559.79 = 1,812.38/x
  3. Step 3: Cross multiply
    1,846.94x = 2,559.79 × 1,812.38
  4. Step 4: Simplify right side
    1,846.94x = 4,639,303.14
  5. Step 5: Solve for x
    x = 4,639,303.14/1,846.94
  6. Step 6: Final answer
    x = 2,511.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.