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Finding the Fourth Proportional to 2,772.90, 4,161.06 and 1,678.32

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Solution

The fourth proportional to 2,772.90, 4,161.06 and 1,678.32 is: 2,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.90 : 4,161.06 = 1,678.32 : x
  2. Step 2: Convert to fraction form
    2,772.90/4,161.06 = 1,678.32/x
  3. Step 3: Cross multiply
    2,772.90x = 4,161.06 × 1,678.32
  4. Step 4: Simplify right side
    2,772.90x = 6,983,590.22
  5. Step 5: Solve for x
    x = 6,983,590.22/2,772.90
  6. Step 6: Final answer
    x = 2,518.51

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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.