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Finding the Fourth Proportional to 2,380.48, 3,571.73 and 1,283.56

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Solution

The fourth proportional to 2,380.48, 3,571.73 and 1,283.56 is: 1,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.48 : 3,571.73 = 1,283.56 : x
  2. Step 2: Convert to fraction form
    2,380.48/3,571.73 = 1,283.56/x
  3. Step 3: Cross multiply
    2,380.48x = 3,571.73 × 1,283.56
  4. Step 4: Simplify right side
    2,380.48x = 4,584,527.81
  5. Step 5: Solve for x
    x = 4,584,527.81/2,380.48
  6. Step 6: Final answer
    x = 1,925.89

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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.