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Finding the Fourth Proportional to 2,817.83, 3,889.06 and 1,873.64

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Solution

The fourth proportional to 2,817.83, 3,889.06 and 1,873.64 is: 2,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.83 : 3,889.06 = 1,873.64 : x
  2. Step 2: Convert to fraction form
    2,817.83/3,889.06 = 1,873.64/x
  3. Step 3: Cross multiply
    2,817.83x = 3,889.06 × 1,873.64
  4. Step 4: Simplify right side
    2,817.83x = 7,286,698.38
  5. Step 5: Solve for x
    x = 7,286,698.38/2,817.83
  6. Step 6: Final answer
    x = 2,585.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.