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Finding the Fourth Proportional to 2,816.00, 4,225.81 and 1,585.81

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Solution

The fourth proportional to 2,816.00, 4,225.81 and 1,585.81 is: 2,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.00 : 4,225.81 = 1,585.81 : x
  2. Step 2: Convert to fraction form
    2,816.00/4,225.81 = 1,585.81/x
  3. Step 3: Cross multiply
    2,816.00x = 4,225.81 × 1,585.81
  4. Step 4: Simplify right side
    2,816.00x = 6,701,310.63
  5. Step 5: Solve for x
    x = 6,701,310.63/2,816.00
  6. Step 6: Final answer
    x = 2,379.73

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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.