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Finding the Fourth Proportional to 2,339.40, 3,506.70 and 1,297.80

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Solution

The fourth proportional to 2,339.40, 3,506.70 and 1,297.80 is: 1,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.40 : 3,506.70 = 1,297.80 : x
  2. Step 2: Convert to fraction form
    2,339.40/3,506.70 = 1,297.80/x
  3. Step 3: Cross multiply
    2,339.40x = 3,506.70 × 1,297.80
  4. Step 4: Simplify right side
    2,339.40x = 4,550,995.26
  5. Step 5: Solve for x
    x = 4,550,995.26/2,339.40
  6. Step 6: Final answer
    x = 1,945.37

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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.