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Finding the Fourth Proportional to 2,830.53, 3,903.69 and 1,990.95

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Solution

The fourth proportional to 2,830.53, 3,903.69 and 1,990.95 is: 2,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.53 : 3,903.69 = 1,990.95 : x
  2. Step 2: Convert to fraction form
    2,830.53/3,903.69 = 1,990.95/x
  3. Step 3: Cross multiply
    2,830.53x = 3,903.69 × 1,990.95
  4. Step 4: Simplify right side
    2,830.53x = 7,772,051.61
  5. Step 5: Solve for x
    x = 7,772,051.61/2,830.53
  6. Step 6: Final answer
    x = 2,745.79

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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.