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Finding the Fourth Proportional to 3,212.36, 4,807.20 and 1,980.08

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Solution

The fourth proportional to 3,212.36, 4,807.20 and 1,980.08 is: 2,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.36 : 4,807.20 = 1,980.08 : x
  2. Step 2: Convert to fraction form
    3,212.36/4,807.20 = 1,980.08/x
  3. Step 3: Cross multiply
    3,212.36x = 4,807.20 × 1,980.08
  4. Step 4: Simplify right side
    3,212.36x = 9,518,640.58
  5. Step 5: Solve for x
    x = 9,518,640.58/3,212.36
  6. Step 6: Final answer
    x = 2,963.13

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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.