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Finding the Fourth Proportional to 1,835.73, 2,532.87 and 1,049.76

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Solution

The fourth proportional to 1,835.73, 2,532.87 and 1,049.76 is: 1,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.73 : 2,532.87 = 1,049.76 : x
  2. Step 2: Convert to fraction form
    1,835.73/2,532.87 = 1,049.76/x
  3. Step 3: Cross multiply
    1,835.73x = 2,532.87 × 1,049.76
  4. Step 4: Simplify right side
    1,835.73x = 2,658,905.61
  5. Step 5: Solve for x
    x = 2,658,905.61/1,835.73
  6. Step 6: Final answer
    x = 1,448.42

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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.