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Finding the Fourth Proportional to 1,848.99, 2,772.83 and 808.68

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Solution

The fourth proportional to 1,848.99, 2,772.83 and 808.68 is: 1,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.99 : 2,772.83 = 808.68 : x
  2. Step 2: Convert to fraction form
    1,848.99/2,772.83 = 808.68/x
  3. Step 3: Cross multiply
    1,848.99x = 2,772.83 × 808.68
  4. Step 4: Simplify right side
    1,848.99x = 2,242,344.58
  5. Step 5: Solve for x
    x = 2,242,344.58/1,848.99
  6. Step 6: Final answer
    x = 1,212.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.