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Finding the Fourth Proportional to 2,890.48, 4,334.80 and 1,849

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Solution

The fourth proportional to 2,890.48, 4,334.80 and 1,849 is: 2,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.48 : 4,334.80 = 1,849 : x
  2. Step 2: Convert to fraction form
    2,890.48/4,334.80 = 1,849/x
  3. Step 3: Cross multiply
    2,890.48x = 4,334.80 × 1,849
  4. Step 4: Simplify right side
    2,890.48x = 8,015,045.20
  5. Step 5: Solve for x
    x = 8,015,045.20/2,890.48
  6. Step 6: Final answer
    x = 2,772.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.