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Finding the Fourth Proportional to 2,391.42, 3,300.21 and 1,447.34

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Solution

The fourth proportional to 2,391.42, 3,300.21 and 1,447.34 is: 1,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.42 : 3,300.21 = 1,447.34 : x
  2. Step 2: Convert to fraction form
    2,391.42/3,300.21 = 1,447.34/x
  3. Step 3: Cross multiply
    2,391.42x = 3,300.21 × 1,447.34
  4. Step 4: Simplify right side
    2,391.42x = 4,776,509.44
  5. Step 5: Solve for x
    x = 4,776,509.44/2,391.42
  6. Step 6: Final answer
    x = 1,997.35

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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.