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Finding the Fourth Proportional to 2,339.46, 3,228.43 and 1,291.50

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Solution

The fourth proportional to 2,339.46, 3,228.43 and 1,291.50 is: 1,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.46 : 3,228.43 = 1,291.50 : x
  2. Step 2: Convert to fraction form
    2,339.46/3,228.43 = 1,291.50/x
  3. Step 3: Cross multiply
    2,339.46x = 3,228.43 × 1,291.50
  4. Step 4: Simplify right side
    2,339.46x = 4,169,517.35
  5. Step 5: Solve for x
    x = 4,169,517.35/2,339.46
  6. Step 6: Final answer
    x = 1,782.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.