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Finding the Fourth Proportional to 2,796.84, 3,862.35 and 2,097

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Solution

The fourth proportional to 2,796.84, 3,862.35 and 2,097 is: 2,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.84 : 3,862.35 = 2,097 : x
  2. Step 2: Convert to fraction form
    2,796.84/3,862.35 = 2,097/x
  3. Step 3: Cross multiply
    2,796.84x = 3,862.35 × 2,097
  4. Step 4: Simplify right side
    2,796.84x = 8,099,347.95
  5. Step 5: Solve for x
    x = 8,099,347.95/2,796.84
  6. Step 6: Final answer
    x = 2,895.89

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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.