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Finding the Fourth Proportional to 4,176.96, 6,266.16 and 2,097.12

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Solution

The fourth proportional to 4,176.96, 6,266.16 and 2,097.12 is: 3,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.96 : 6,266.16 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    4,176.96/6,266.16 = 2,097.12/x
  3. Step 3: Cross multiply
    4,176.96x = 6,266.16 × 2,097.12
  4. Step 4: Simplify right side
    4,176.96x = 13,140,889.46
  5. Step 5: Solve for x
    x = 13,140,889.46/4,176.96
  6. Step 6: Final answer
    x = 3,146.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.