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Finding the Fourth Proportional to 2,244.65, 3,366.14 and 857.63

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Solution

The fourth proportional to 2,244.65, 3,366.14 and 857.63 is: 1,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.65 : 3,366.14 = 857.63 : x
  2. Step 2: Convert to fraction form
    2,244.65/3,366.14 = 857.63/x
  3. Step 3: Cross multiply
    2,244.65x = 3,366.14 × 857.63
  4. Step 4: Simplify right side
    2,244.65x = 2,886,902.65
  5. Step 5: Solve for x
    x = 2,886,902.65/2,244.65
  6. Step 6: Final answer
    x = 1,286.13

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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.