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Finding the Fourth Proportional to 2,441.08, 3,658 and 1,283.32

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Solution

The fourth proportional to 2,441.08, 3,658 and 1,283.32 is: 1,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.08 : 3,658 = 1,283.32 : x
  2. Step 2: Convert to fraction form
    2,441.08/3,658 = 1,283.32/x
  3. Step 3: Cross multiply
    2,441.08x = 3,658 × 1,283.32
  4. Step 4: Simplify right side
    2,441.08x = 4,694,384.56
  5. Step 5: Solve for x
    x = 4,694,384.56/2,441.08
  6. Step 6: Final answer
    x = 1,923.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.