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Finding the Fourth Proportional to 2,205.50, 3,044.94 and 1,420.94

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Solution

The fourth proportional to 2,205.50, 3,044.94 and 1,420.94 is: 1,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.50 : 3,044.94 = 1,420.94 : x
  2. Step 2: Convert to fraction form
    2,205.50/3,044.94 = 1,420.94/x
  3. Step 3: Cross multiply
    2,205.50x = 3,044.94 × 1,420.94
  4. Step 4: Simplify right side
    2,205.50x = 4,326,677.04
  5. Step 5: Solve for x
    x = 4,326,677.04/2,205.50
  6. Step 6: Final answer
    x = 1,961.77

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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.