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Finding the Fourth Proportional to 2,072.88, 2,860.38 and 1,680.84

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Solution

The fourth proportional to 2,072.88, 2,860.38 and 1,680.84 is: 2,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 2,860.38 = 1,680.84 : x
  2. Step 2: Convert to fraction form
    2,072.88/2,860.38 = 1,680.84/x
  3. Step 3: Cross multiply
    2,072.88x = 2,860.38 × 1,680.84
  4. Step 4: Simplify right side
    2,072.88x = 4,807,841.12
  5. Step 5: Solve for x
    x = 4,807,841.12/2,072.88
  6. Step 6: Final answer
    x = 2,319.40

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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.