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Finding the Fourth Proportional to 1,890.34, 2,602.20 and 1,640.19

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Solution

The fourth proportional to 1,890.34, 2,602.20 and 1,640.19 is: 2,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.34 : 2,602.20 = 1,640.19 : x
  2. Step 2: Convert to fraction form
    1,890.34/2,602.20 = 1,640.19/x
  3. Step 3: Cross multiply
    1,890.34x = 2,602.20 × 1,640.19
  4. Step 4: Simplify right side
    1,890.34x = 4,268,102.42
  5. Step 5: Solve for x
    x = 4,268,102.42/1,890.34
  6. Step 6: Final answer
    x = 2,257.85

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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.