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Finding the Fourth Proportional to 2,798.82, 4,199.57 and 1,068.66

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Solution

The fourth proportional to 2,798.82, 4,199.57 and 1,068.66 is: 1,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.82 : 4,199.57 = 1,068.66 : x
  2. Step 2: Convert to fraction form
    2,798.82/4,199.57 = 1,068.66/x
  3. Step 3: Cross multiply
    2,798.82x = 4,199.57 × 1,068.66
  4. Step 4: Simplify right side
    2,798.82x = 4,487,907.13
  5. Step 5: Solve for x
    x = 4,487,907.13/2,798.82
  6. Step 6: Final answer
    x = 1,603.50

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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.