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Finding the Fourth Proportional to 2,843.02, 4,262.57 and 1,455.42

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Solution

The fourth proportional to 2,843.02, 4,262.57 and 1,455.42 is: 2,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.02 : 4,262.57 = 1,455.42 : x
  2. Step 2: Convert to fraction form
    2,843.02/4,262.57 = 1,455.42/x
  3. Step 3: Cross multiply
    2,843.02x = 4,262.57 × 1,455.42
  4. Step 4: Simplify right side
    2,843.02x = 6,203,828.00
  5. Step 5: Solve for x
    x = 6,203,828.00/2,843.02
  6. Step 6: Final answer
    x = 2,182.13

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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.