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Finding the Fourth Proportional to 3,466.17, 4,784.70 and 2,290.05

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Solution

The fourth proportional to 3,466.17, 4,784.70 and 2,290.05 is: 3,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.17 : 4,784.70 = 2,290.05 : x
  2. Step 2: Convert to fraction form
    3,466.17/4,784.70 = 2,290.05/x
  3. Step 3: Cross multiply
    3,466.17x = 4,784.70 × 2,290.05
  4. Step 4: Simplify right side
    3,466.17x = 10,957,202.24
  5. Step 5: Solve for x
    x = 10,957,202.24/3,466.17
  6. Step 6: Final answer
    x = 3,161.18

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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.