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Finding the Fourth Proportional to 1,848.30, 2,772.23 and 807.77

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Solution

The fourth proportional to 1,848.30, 2,772.23 and 807.77 is: 1,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.30 : 2,772.23 = 807.77 : x
  2. Step 2: Convert to fraction form
    1,848.30/2,772.23 = 807.77/x
  3. Step 3: Cross multiply
    1,848.30x = 2,772.23 × 807.77
  4. Step 4: Simplify right side
    1,848.30x = 2,239,306.33
  5. Step 5: Solve for x
    x = 2,239,306.33/1,848.30
  6. Step 6: Final answer
    x = 1,211.55

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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.