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Finding the Fourth Proportional to 2,285.49, 3,153.80 and 1,290.86

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Solution

The fourth proportional to 2,285.49, 3,153.80 and 1,290.86 is: 1,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.49 : 3,153.80 = 1,290.86 : x
  2. Step 2: Convert to fraction form
    2,285.49/3,153.80 = 1,290.86/x
  3. Step 3: Cross multiply
    2,285.49x = 3,153.80 × 1,290.86
  4. Step 4: Simplify right side
    2,285.49x = 4,071,114.27
  5. Step 5: Solve for x
    x = 4,071,114.27/2,285.49
  6. Step 6: Final answer
    x = 1,781.29

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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.