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Finding the Fourth Proportional to 2,974.37, 4,104.47 and 1,648.00

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Solution

The fourth proportional to 2,974.37, 4,104.47 and 1,648.00 is: 2,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.37 : 4,104.47 = 1,648.00 : x
  2. Step 2: Convert to fraction form
    2,974.37/4,104.47 = 1,648.00/x
  3. Step 3: Cross multiply
    2,974.37x = 4,104.47 × 1,648.00
  4. Step 4: Simplify right side
    2,974.37x = 6,764,146.04
  5. Step 5: Solve for x
    x = 6,764,146.04/2,974.37
  6. Step 6: Final answer
    x = 2,274.14

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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.