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Finding the Fourth Proportional to 2,825.70, 3,899.44 and 1,583.70

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Solution

The fourth proportional to 2,825.70, 3,899.44 and 1,583.70 is: 2,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.70 : 3,899.44 = 1,583.70 : x
  2. Step 2: Convert to fraction form
    2,825.70/3,899.44 = 1,583.70/x
  3. Step 3: Cross multiply
    2,825.70x = 3,899.44 × 1,583.70
  4. Step 4: Simplify right side
    2,825.70x = 6,175,543.13
  5. Step 5: Solve for x
    x = 6,175,543.13/2,825.70
  6. Step 6: Final answer
    x = 2,185.49

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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.