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Finding the Fourth Proportional to 3,466.40, 4,783.62 and 2,069

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Solution

The fourth proportional to 3,466.40, 4,783.62 and 2,069 is: 2,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.40 : 4,783.62 = 2,069 : x
  2. Step 2: Convert to fraction form
    3,466.40/4,783.62 = 2,069/x
  3. Step 3: Cross multiply
    3,466.40x = 4,783.62 × 2,069
  4. Step 4: Simplify right side
    3,466.40x = 9,897,309.78
  5. Step 5: Solve for x
    x = 9,897,309.78/3,466.40
  6. Step 6: Final answer
    x = 2,855.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.