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Finding the Fourth Proportional to 2,304.63, 3,456.98 and 843.77

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Solution

The fourth proportional to 2,304.63, 3,456.98 and 843.77 is: 1,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.63 : 3,456.98 = 843.77 : x
  2. Step 2: Convert to fraction form
    2,304.63/3,456.98 = 843.77/x
  3. Step 3: Cross multiply
    2,304.63x = 3,456.98 × 843.77
  4. Step 4: Simplify right side
    2,304.63x = 2,916,896.01
  5. Step 5: Solve for x
    x = 2,916,896.01/2,304.63
  6. Step 6: Final answer
    x = 1,265.67

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1.5x scale

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.