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Finding the Fourth Proportional to 2,583.01, 3,875.06 and 851.77

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Solution

The fourth proportional to 2,583.01, 3,875.06 and 851.77 is: 1,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.01 : 3,875.06 = 851.77 : x
  2. Step 2: Convert to fraction form
    2,583.01/3,875.06 = 851.77/x
  3. Step 3: Cross multiply
    2,583.01x = 3,875.06 × 851.77
  4. Step 4: Simplify right side
    2,583.01x = 3,300,659.86
  5. Step 5: Solve for x
    x = 3,300,659.86/2,583.01
  6. Step 6: Final answer
    x = 1,277.83

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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.