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Finding the Fourth Proportional to 2,339.60, 3,228.68 and 1,291.64

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Solution

The fourth proportional to 2,339.60, 3,228.68 and 1,291.64 is: 1,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.60 : 3,228.68 = 1,291.64 : x
  2. Step 2: Convert to fraction form
    2,339.60/3,228.68 = 1,291.64/x
  3. Step 3: Cross multiply
    2,339.60x = 3,228.68 × 1,291.64
  4. Step 4: Simplify right side
    2,339.60x = 4,170,292.24
  5. Step 5: Solve for x
    x = 4,170,292.24/2,339.60
  6. Step 6: Final answer
    x = 1,782.48

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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.