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Finding the Fourth Proportional to 2,336.58, 3,500.19 and 1,409.33

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Solution

The fourth proportional to 2,336.58, 3,500.19 and 1,409.33 is: 2,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.58 : 3,500.19 = 1,409.33 : x
  2. Step 2: Convert to fraction form
    2,336.58/3,500.19 = 1,409.33/x
  3. Step 3: Cross multiply
    2,336.58x = 3,500.19 × 1,409.33
  4. Step 4: Simplify right side
    2,336.58x = 4,932,922.77
  5. Step 5: Solve for x
    x = 4,932,922.77/2,336.58
  6. Step 6: Final answer
    x = 2,111.17

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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.