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Finding the Fourth Proportional to 1,848.45, 2,776.73 and 1,364.61

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Solution

The fourth proportional to 1,848.45, 2,776.73 and 1,364.61 is: 2,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.45 : 2,776.73 = 1,364.61 : x
  2. Step 2: Convert to fraction form
    1,848.45/2,776.73 = 1,364.61/x
  3. Step 3: Cross multiply
    1,848.45x = 2,776.73 × 1,364.61
  4. Step 4: Simplify right side
    1,848.45x = 3,789,146.70
  5. Step 5: Solve for x
    x = 3,789,146.70/1,848.45
  6. Step 6: Final answer
    x = 2,049.90

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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.