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Finding the Fourth Proportional to 3,239.94, 4,470 and 1,823.34

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Solution

The fourth proportional to 3,239.94, 4,470 and 1,823.34 is: 2,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.94 : 4,470 = 1,823.34 : x
  2. Step 2: Convert to fraction form
    3,239.94/4,470 = 1,823.34/x
  3. Step 3: Cross multiply
    3,239.94x = 4,470 × 1,823.34
  4. Step 4: Simplify right side
    3,239.94x = 8,150,329.80
  5. Step 5: Solve for x
    x = 8,150,329.80/3,239.94
  6. Step 6: Final answer
    x = 2,515.58

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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.