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Finding the Fourth Proportional to 4,205.64, 6,309 and 1,608.24

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Solution

The fourth proportional to 4,205.64, 6,309 and 1,608.24 is: 2,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.64 : 6,309 = 1,608.24 : x
  2. Step 2: Convert to fraction form
    4,205.64/6,309 = 1,608.24/x
  3. Step 3: Cross multiply
    4,205.64x = 6,309 × 1,608.24
  4. Step 4: Simplify right side
    4,205.64x = 10,146,386.16
  5. Step 5: Solve for x
    x = 10,146,386.16/4,205.64
  6. Step 6: Final answer
    x = 2,412.57

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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.