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Finding the Fourth Proportional to 3,363.90, 4,646.08 and 2,243

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Solution

The fourth proportional to 3,363.90, 4,646.08 and 2,243 is: 3,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.90 : 4,646.08 = 2,243 : x
  2. Step 2: Convert to fraction form
    3,363.90/4,646.08 = 2,243/x
  3. Step 3: Cross multiply
    3,363.90x = 4,646.08 × 2,243
  4. Step 4: Simplify right side
    3,363.90x = 10,421,157.44
  5. Step 5: Solve for x
    x = 10,421,157.44/3,363.90
  6. Step 6: Final answer
    x = 3,097.94

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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.