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Finding the Fourth Proportional to 2,333.47, 3,219.92 and 1,448.95

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Solution

The fourth proportional to 2,333.47, 3,219.92 and 1,448.95 is: 1,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.47 : 3,219.92 = 1,448.95 : x
  2. Step 2: Convert to fraction form
    2,333.47/3,219.92 = 1,448.95/x
  3. Step 3: Cross multiply
    2,333.47x = 3,219.92 × 1,448.95
  4. Step 4: Simplify right side
    2,333.47x = 4,665,503.08
  5. Step 5: Solve for x
    x = 4,665,503.08/2,333.47
  6. Step 6: Final answer
    x = 1,999.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.