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Finding the Fourth Proportional to 2,339.60, 3,228.86 and 1,345.46

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Solution

The fourth proportional to 2,339.60, 3,228.86 and 1,345.46 is: 1,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.60 : 3,228.86 = 1,345.46 : x
  2. Step 2: Convert to fraction form
    2,339.60/3,228.86 = 1,345.46/x
  3. Step 3: Cross multiply
    2,339.60x = 3,228.86 × 1,345.46
  4. Step 4: Simplify right side
    2,339.60x = 4,344,289.19
  5. Step 5: Solve for x
    x = 4,344,289.19/2,339.60
  6. Step 6: Final answer
    x = 1,856.86

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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.