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Finding the Fourth Proportional to 1,466.70, 2,198.07 and 1,074.87

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Solution

The fourth proportional to 1,466.70, 2,198.07 and 1,074.87 is: 1,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.70 : 2,198.07 = 1,074.87 : x
  2. Step 2: Convert to fraction form
    1,466.70/2,198.07 = 1,074.87/x
  3. Step 3: Cross multiply
    1,466.70x = 2,198.07 × 1,074.87
  4. Step 4: Simplify right side
    1,466.70x = 2,362,639.50
  5. Step 5: Solve for x
    x = 2,362,639.50/1,466.70
  6. Step 6: Final answer
    x = 1,610.85

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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.