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Finding the Fourth Proportional to 3,394.95, 4,685.36 and 2,068.98

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Solution

The fourth proportional to 3,394.95, 4,685.36 and 2,068.98 is: 2,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.95 : 4,685.36 = 2,068.98 : x
  2. Step 2: Convert to fraction form
    3,394.95/4,685.36 = 2,068.98/x
  3. Step 3: Cross multiply
    3,394.95x = 4,685.36 × 2,068.98
  4. Step 4: Simplify right side
    3,394.95x = 9,693,905.79
  5. Step 5: Solve for x
    x = 9,693,905.79/3,394.95
  6. Step 6: Final answer
    x = 2,855.39

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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.