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Finding the Fourth Proportional to 2,006.82, 2,770.50 and 1,848.72

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Solution

The fourth proportional to 2,006.82, 2,770.50 and 1,848.72 is: 2,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.82 : 2,770.50 = 1,848.72 : x
  2. Step 2: Convert to fraction form
    2,006.82/2,770.50 = 1,848.72/x
  3. Step 3: Cross multiply
    2,006.82x = 2,770.50 × 1,848.72
  4. Step 4: Simplify right side
    2,006.82x = 5,121,878.76
  5. Step 5: Solve for x
    x = 5,121,878.76/2,006.82
  6. Step 6: Final answer
    x = 2,552.24

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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.