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Finding the Fourth Proportional to 4,201.64, 6,303.90 and 1,605.32

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Solution

The fourth proportional to 4,201.64, 6,303.90 and 1,605.32 is: 2,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.64 : 6,303.90 = 1,605.32 : x
  2. Step 2: Convert to fraction form
    4,201.64/6,303.90 = 1,605.32/x
  3. Step 3: Cross multiply
    4,201.64x = 6,303.90 × 1,605.32
  4. Step 4: Simplify right side
    4,201.64x = 10,119,776.75
  5. Step 5: Solve for x
    x = 10,119,776.75/4,201.64
  6. Step 6: Final answer
    x = 2,408.53

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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.