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Finding the Fourth Proportional to 3,114.38, 4,297.80 and 1,788.14

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Solution

The fourth proportional to 3,114.38, 4,297.80 and 1,788.14 is: 2,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.38 : 4,297.80 = 1,788.14 : x
  2. Step 2: Convert to fraction form
    3,114.38/4,297.80 = 1,788.14/x
  3. Step 3: Cross multiply
    3,114.38x = 4,297.80 × 1,788.14
  4. Step 4: Simplify right side
    3,114.38x = 7,685,068.09
  5. Step 5: Solve for x
    x = 7,685,068.09/3,114.38
  6. Step 6: Final answer
    x = 2,467.61

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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.