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Finding the Fourth Proportional to 2,358.63, 3,254.94 and 1,474.97

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Solution

The fourth proportional to 2,358.63, 3,254.94 and 1,474.97 is: 2,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.63 : 3,254.94 = 1,474.97 : x
  2. Step 2: Convert to fraction form
    2,358.63/3,254.94 = 1,474.97/x
  3. Step 3: Cross multiply
    2,358.63x = 3,254.94 × 1,474.97
  4. Step 4: Simplify right side
    2,358.63x = 4,800,922.58
  5. Step 5: Solve for x
    x = 4,800,922.58/2,358.63
  6. Step 6: Final answer
    x = 2,035.47

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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.