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Finding the Fourth Proportional to 2,366.14, 3,549.33 and 806.32

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Solution

The fourth proportional to 2,366.14, 3,549.33 and 806.32 is: 1,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.14 : 3,549.33 = 806.32 : x
  2. Step 2: Convert to fraction form
    2,366.14/3,549.33 = 806.32/x
  3. Step 3: Cross multiply
    2,366.14x = 3,549.33 × 806.32
  4. Step 4: Simplify right side
    2,366.14x = 2,861,895.77
  5. Step 5: Solve for x
    x = 2,861,895.77/2,366.14
  6. Step 6: Final answer
    x = 1,209.52

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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.