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Finding the Fourth Proportional to 2,007.80, 2,770.98 and 1,536.92

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Solution

The fourth proportional to 2,007.80, 2,770.98 and 1,536.92 is: 2,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.80 : 2,770.98 = 1,536.92 : x
  2. Step 2: Convert to fraction form
    2,007.80/2,770.98 = 1,536.92/x
  3. Step 3: Cross multiply
    2,007.80x = 2,770.98 × 1,536.92
  4. Step 4: Simplify right side
    2,007.80x = 4,258,774.58
  5. Step 5: Solve for x
    x = 4,258,774.58/2,007.80
  6. Step 6: Final answer
    x = 2,121.11

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