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Finding the Fourth Proportional to 2,278, 3,143.58 and 1,283.38

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Solution

The fourth proportional to 2,278, 3,143.58 and 1,283.38 is: 1,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 3,143.58 = 1,283.38 : x
  2. Step 2: Convert to fraction form
    2,278/3,143.58 = 1,283.38/x
  3. Step 3: Cross multiply
    2,278x = 3,143.58 × 1,283.38
  4. Step 4: Simplify right side
    2,278x = 4,034,407.70
  5. Step 5: Solve for x
    x = 4,034,407.70/2,278
  6. Step 6: Final answer
    x = 1,771.03

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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.