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Finding the Fourth Proportional to 3,208.92, 4,812.40 and 1,360

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Solution

The fourth proportional to 3,208.92, 4,812.40 and 1,360 is: 2,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.92 : 4,812.40 = 1,360 : x
  2. Step 2: Convert to fraction form
    3,208.92/4,812.40 = 1,360/x
  3. Step 3: Cross multiply
    3,208.92x = 4,812.40 × 1,360
  4. Step 4: Simplify right side
    3,208.92x = 6,544,864.00
  5. Step 5: Solve for x
    x = 6,544,864.00/3,208.92
  6. Step 6: Final answer
    x = 2,039.58

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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.