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Finding the Fourth Proportional to 2,483.95, 3,428.02 and 1,643.19

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Solution

The fourth proportional to 2,483.95, 3,428.02 and 1,643.19 is: 2,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.95 : 3,428.02 = 1,643.19 : x
  2. Step 2: Convert to fraction form
    2,483.95/3,428.02 = 1,643.19/x
  3. Step 3: Cross multiply
    2,483.95x = 3,428.02 × 1,643.19
  4. Step 4: Simplify right side
    2,483.95x = 5,632,906.31
  5. Step 5: Solve for x
    x = 5,632,906.31/2,483.95
  6. Step 6: Final answer
    x = 2,267.72

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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.