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Finding the Fourth Proportional to 2,247.89, 3,097.16 and 1,678.31

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Solution

The fourth proportional to 2,247.89, 3,097.16 and 1,678.31 is: 2,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.89 : 3,097.16 = 1,678.31 : x
  2. Step 2: Convert to fraction form
    2,247.89/3,097.16 = 1,678.31/x
  3. Step 3: Cross multiply
    2,247.89x = 3,097.16 × 1,678.31
  4. Step 4: Simplify right side
    2,247.89x = 5,197,994.60
  5. Step 5: Solve for x
    x = 5,197,994.60/2,247.89
  6. Step 6: Final answer
    x = 2,312.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.