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Finding the Fourth Proportional to 2,855.00, 4,282.29 and 1,006.26

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Solution

The fourth proportional to 2,855.00, 4,282.29 and 1,006.26 is: 1,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.00 : 4,282.29 = 1,006.26 : x
  2. Step 2: Convert to fraction form
    2,855.00/4,282.29 = 1,006.26/x
  3. Step 3: Cross multiply
    2,855.00x = 4,282.29 × 1,006.26
  4. Step 4: Simplify right side
    2,855.00x = 4,309,097.14
  5. Step 5: Solve for x
    x = 4,309,097.14/2,855.00
  6. Step 6: Final answer
    x = 1,509.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.