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Finding the Fourth Proportional to 4,199.67, 6,299.55 and 1,602

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Solution

The fourth proportional to 4,199.67, 6,299.55 and 1,602 is: 2,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.67 : 6,299.55 = 1,602 : x
  2. Step 2: Convert to fraction form
    4,199.67/6,299.55 = 1,602/x
  3. Step 3: Cross multiply
    4,199.67x = 6,299.55 × 1,602
  4. Step 4: Simplify right side
    4,199.67x = 10,091,879.10
  5. Step 5: Solve for x
    x = 10,091,879.10/4,199.67
  6. Step 6: Final answer
    x = 2,403.02

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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.