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Finding the Fourth Proportional to 2,822.70, 4,235.06 and 1,262.58

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Solution

The fourth proportional to 2,822.70, 4,235.06 and 1,262.58 is: 1,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.70 : 4,235.06 = 1,262.58 : x
  2. Step 2: Convert to fraction form
    2,822.70/4,235.06 = 1,262.58/x
  3. Step 3: Cross multiply
    2,822.70x = 4,235.06 × 1,262.58
  4. Step 4: Simplify right side
    2,822.70x = 5,347,102.05
  5. Step 5: Solve for x
    x = 5,347,102.05/2,822.70
  6. Step 6: Final answer
    x = 1,894.32

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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.