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Finding the Fourth Proportional to 2,477.54, 3,414.56 and 2,034.02

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Solution

The fourth proportional to 2,477.54, 3,414.56 and 2,034.02 is: 2,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.54 : 3,414.56 = 2,034.02 : x
  2. Step 2: Convert to fraction form
    2,477.54/3,414.56 = 2,034.02/x
  3. Step 3: Cross multiply
    2,477.54x = 3,414.56 × 2,034.02
  4. Step 4: Simplify right side
    2,477.54x = 6,945,283.33
  5. Step 5: Solve for x
    x = 6,945,283.33/2,477.54
  6. Step 6: Final answer
    x = 2,803.30

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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.