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Finding the Fourth Proportional to 2,278.07, 3,144.03 and 1,283.60

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Solution

The fourth proportional to 2,278.07, 3,144.03 and 1,283.60 is: 1,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.07 : 3,144.03 = 1,283.60 : x
  2. Step 2: Convert to fraction form
    2,278.07/3,144.03 = 1,283.60/x
  3. Step 3: Cross multiply
    2,278.07x = 3,144.03 × 1,283.60
  4. Step 4: Simplify right side
    2,278.07x = 4,035,661.19
  5. Step 5: Solve for x
    x = 4,035,661.19/2,278.07
  6. Step 6: Final answer
    x = 1,771.52

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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.