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Finding the Fourth Proportional to 2,803.68, 4,206.18 and 1,571.94

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Solution

The fourth proportional to 2,803.68, 4,206.18 and 1,571.94 is: 2,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.68 : 4,206.18 = 1,571.94 : x
  2. Step 2: Convert to fraction form
    2,803.68/4,206.18 = 1,571.94/x
  3. Step 3: Cross multiply
    2,803.68x = 4,206.18 × 1,571.94
  4. Step 4: Simplify right side
    2,803.68x = 6,611,884.26
  5. Step 5: Solve for x
    x = 6,611,884.26/2,803.68
  6. Step 6: Final answer
    x = 2,358.28

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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.