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Finding the Fourth Proportional to 2,339.76, 3,509.46 and 1,105.32

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Solution

The fourth proportional to 2,339.76, 3,509.46 and 1,105.32 is: 1,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.76 : 3,509.46 = 1,105.32 : x
  2. Step 2: Convert to fraction form
    2,339.76/3,509.46 = 1,105.32/x
  3. Step 3: Cross multiply
    2,339.76x = 3,509.46 × 1,105.32
  4. Step 4: Simplify right side
    2,339.76x = 3,879,076.33
  5. Step 5: Solve for x
    x = 3,879,076.33/2,339.76
  6. Step 6: Final answer
    x = 1,657.89

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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.