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Finding the Fourth Proportional to 3,208.16, 4,809 and 1,259.60

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Solution

The fourth proportional to 3,208.16, 4,809 and 1,259.60 is: 1,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.16 : 4,809 = 1,259.60 : x
  2. Step 2: Convert to fraction form
    3,208.16/4,809 = 1,259.60/x
  3. Step 3: Cross multiply
    3,208.16x = 4,809 × 1,259.60
  4. Step 4: Simplify right side
    3,208.16x = 6,057,416.40
  5. Step 5: Solve for x
    x = 6,057,416.40/3,208.16
  6. Step 6: Final answer
    x = 1,888.13

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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.