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Finding the Fourth Proportional to 1,781.49, 2,675.88 and 1,369.20

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Solution

The fourth proportional to 1,781.49, 2,675.88 and 1,369.20 is: 2,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.49 : 2,675.88 = 1,369.20 : x
  2. Step 2: Convert to fraction form
    1,781.49/2,675.88 = 1,369.20/x
  3. Step 3: Cross multiply
    1,781.49x = 2,675.88 × 1,369.20
  4. Step 4: Simplify right side
    1,781.49x = 3,663,814.90
  5. Step 5: Solve for x
    x = 3,663,814.90/1,781.49
  6. Step 6: Final answer
    x = 2,056.60

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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.