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Finding the Fourth Proportional to 1,905.54, 2,847.63 and 1,800.24

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Solution

The fourth proportional to 1,905.54, 2,847.63 and 1,800.24 is: 2,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.54 : 2,847.63 = 1,800.24 : x
  2. Step 2: Convert to fraction form
    1,905.54/2,847.63 = 1,800.24/x
  3. Step 3: Cross multiply
    1,905.54x = 2,847.63 × 1,800.24
  4. Step 4: Simplify right side
    1,905.54x = 5,126,417.43
  5. Step 5: Solve for x
    x = 5,126,417.43/1,905.54
  6. Step 6: Final answer
    x = 2,690.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.