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Finding the Fourth Proportional to 3,038.57, 4,193.23 and 1,641.32

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Solution

The fourth proportional to 3,038.57, 4,193.23 and 1,641.32 is: 2,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.57 : 4,193.23 = 1,641.32 : x
  2. Step 2: Convert to fraction form
    3,038.57/4,193.23 = 1,641.32/x
  3. Step 3: Cross multiply
    3,038.57x = 4,193.23 × 1,641.32
  4. Step 4: Simplify right side
    3,038.57x = 6,882,422.92
  5. Step 5: Solve for x
    x = 6,882,422.92/3,038.57
  6. Step 6: Final answer
    x = 2,265.02

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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.