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Finding the Fourth Proportional to 2,035.40, 2,800.50 and 1,905.80

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Solution

The fourth proportional to 2,035.40, 2,800.50 and 1,905.80 is: 2,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.40 : 2,800.50 = 1,905.80 : x
  2. Step 2: Convert to fraction form
    2,035.40/2,800.50 = 1,905.80/x
  3. Step 3: Cross multiply
    2,035.40x = 2,800.50 × 1,905.80
  4. Step 4: Simplify right side
    2,035.40x = 5,337,192.90
  5. Step 5: Solve for x
    x = 5,337,192.90/2,035.40
  6. Step 6: Final answer
    x = 2,622.18

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