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Finding the Fourth Proportional to 2,391.84, 3,300.12 and 1,396.98

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Solution

The fourth proportional to 2,391.84, 3,300.12 and 1,396.98 is: 1,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.84 : 3,300.12 = 1,396.98 : x
  2. Step 2: Convert to fraction form
    2,391.84/3,300.12 = 1,396.98/x
  3. Step 3: Cross multiply
    2,391.84x = 3,300.12 × 1,396.98
  4. Step 4: Simplify right side
    2,391.84x = 4,610,201.64
  5. Step 5: Solve for x
    x = 4,610,201.64/2,391.84
  6. Step 6: Final answer
    x = 1,927.47

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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.