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Finding the Fourth Proportional to 2,902.45, 4,005.50 and 1,643.57

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Solution

The fourth proportional to 2,902.45, 4,005.50 and 1,643.57 is: 2,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.45 : 4,005.50 = 1,643.57 : x
  2. Step 2: Convert to fraction form
    2,902.45/4,005.50 = 1,643.57/x
  3. Step 3: Cross multiply
    2,902.45x = 4,005.50 × 1,643.57
  4. Step 4: Simplify right side
    2,902.45x = 6,583,291.39
  5. Step 5: Solve for x
    x = 6,583,291.39/2,902.45
  6. Step 6: Final answer
    x = 2,268.19

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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.