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Finding the Fourth Proportional to 2,378.59, 3,283.50 and 1,571.02

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Solution

The fourth proportional to 2,378.59, 3,283.50 and 1,571.02 is: 2,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.59 : 3,283.50 = 1,571.02 : x
  2. Step 2: Convert to fraction form
    2,378.59/3,283.50 = 1,571.02/x
  3. Step 3: Cross multiply
    2,378.59x = 3,283.50 × 1,571.02
  4. Step 4: Simplify right side
    2,378.59x = 5,158,441.85
  5. Step 5: Solve for x
    x = 5,158,441.85/2,378.59
  6. Step 6: Final answer
    x = 2,168.70

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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.