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Finding the Fourth Proportional to 3,200.78, 4,416.72 and 1,803.53

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Solution

The fourth proportional to 3,200.78, 4,416.72 and 1,803.53 is: 2,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.78 : 4,416.72 = 1,803.53 : x
  2. Step 2: Convert to fraction form
    3,200.78/4,416.72 = 1,803.53/x
  3. Step 3: Cross multiply
    3,200.78x = 4,416.72 × 1,803.53
  4. Step 4: Simplify right side
    3,200.78x = 7,965,687.02
  5. Step 5: Solve for x
    x = 7,965,687.02/3,200.78
  6. Step 6: Final answer
    x = 2,488.67

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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.