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Finding the Fourth Proportional to 2,378.82, 3,283.84 and 1,583.55

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Solution

The fourth proportional to 2,378.82, 3,283.84 and 1,583.55 is: 2,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,283.84 = 1,583.55 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,283.84 = 1,583.55/x
  3. Step 3: Cross multiply
    2,378.82x = 3,283.84 × 1,583.55
  4. Step 4: Simplify right side
    2,378.82x = 5,200,124.83
  5. Step 5: Solve for x
    x = 5,200,124.83/2,378.82
  6. Step 6: Final answer
    x = 2,186.01

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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.