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Finding the Fourth Proportional to 1,883.14, 2,599.03 and 1,800.09

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Solution

The fourth proportional to 1,883.14, 2,599.03 and 1,800.09 is: 2,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.14 : 2,599.03 = 1,800.09 : x
  2. Step 2: Convert to fraction form
    1,883.14/2,599.03 = 1,800.09/x
  3. Step 3: Cross multiply
    1,883.14x = 2,599.03 × 1,800.09
  4. Step 4: Simplify right side
    1,883.14x = 4,678,474.92
  5. Step 5: Solve for x
    x = 4,678,474.92/1,883.14
  6. Step 6: Final answer
    x = 2,484.41

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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.