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Finding the Fourth Proportional to 3,455.89, 4,769.90 and 2,196.70

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Solution

The fourth proportional to 3,455.89, 4,769.90 and 2,196.70 is: 3,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.89 : 4,769.90 = 2,196.70 : x
  2. Step 2: Convert to fraction form
    3,455.89/4,769.90 = 2,196.70/x
  3. Step 3: Cross multiply
    3,455.89x = 4,769.90 × 2,196.70
  4. Step 4: Simplify right side
    3,455.89x = 10,478,004.50
  5. Step 5: Solve for x
    x = 10,478,004.50/3,455.89
  6. Step 6: Final answer
    x = 3,031.93

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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.