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Finding the Fourth Proportional to 2,838.81, 4,254.50 and 1,450.97

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Solution

The fourth proportional to 2,838.81, 4,254.50 and 1,450.97 is: 2,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.81 : 4,254.50 = 1,450.97 : x
  2. Step 2: Convert to fraction form
    2,838.81/4,254.50 = 1,450.97/x
  3. Step 3: Cross multiply
    2,838.81x = 4,254.50 × 1,450.97
  4. Step 4: Simplify right side
    2,838.81x = 6,173,123.34
  5. Step 5: Solve for x
    x = 6,173,123.34/2,838.81
  6. Step 6: Final answer
    x = 2,174.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.