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Finding the Fourth Proportional to 3,243.40, 4,866.54 and 1,297.06

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Solution

The fourth proportional to 3,243.40, 4,866.54 and 1,297.06 is: 1,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.40 : 4,866.54 = 1,297.06 : x
  2. Step 2: Convert to fraction form
    3,243.40/4,866.54 = 1,297.06/x
  3. Step 3: Cross multiply
    3,243.40x = 4,866.54 × 1,297.06
  4. Step 4: Simplify right side
    3,243.40x = 6,312,194.37
  5. Step 5: Solve for x
    x = 6,312,194.37/3,243.40
  6. Step 6: Final answer
    x = 1,946.17

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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.