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Finding the Fourth Proportional to 1,881.39, 2,594.26 and 1,283.94

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Solution

The fourth proportional to 1,881.39, 2,594.26 and 1,283.94 is: 1,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.39 : 2,594.26 = 1,283.94 : x
  2. Step 2: Convert to fraction form
    1,881.39/2,594.26 = 1,283.94/x
  3. Step 3: Cross multiply
    1,881.39x = 2,594.26 × 1,283.94
  4. Step 4: Simplify right side
    1,881.39x = 3,330,874.18
  5. Step 5: Solve for x
    x = 3,330,874.18/1,881.39
  6. Step 6: Final answer
    x = 1,770.43

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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.