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Finding the Fourth Proportional to 2,386.98, 3,294 and 1,338.84

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Solution

The fourth proportional to 2,386.98, 3,294 and 1,338.84 is: 1,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.98 : 3,294 = 1,338.84 : x
  2. Step 2: Convert to fraction form
    2,386.98/3,294 = 1,338.84/x
  3. Step 3: Cross multiply
    2,386.98x = 3,294 × 1,338.84
  4. Step 4: Simplify right side
    2,386.98x = 4,410,138.96
  5. Step 5: Solve for x
    x = 4,410,138.96/2,386.98
  6. Step 6: Final answer
    x = 1,847.58

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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.