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Finding the Fourth Proportional to 4,202.02, 6,303.22 and 1,604.76

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Solution

The fourth proportional to 4,202.02, 6,303.22 and 1,604.76 is: 2,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.02 : 6,303.22 = 1,604.76 : x
  2. Step 2: Convert to fraction form
    4,202.02/6,303.22 = 1,604.76/x
  3. Step 3: Cross multiply
    4,202.02x = 6,303.22 × 1,604.76
  4. Step 4: Simplify right side
    4,202.02x = 10,115,155.33
  5. Step 5: Solve for x
    x = 10,115,155.33/4,202.02
  6. Step 6: Final answer
    x = 2,407.21

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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.