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Finding the Fourth Proportional to 4,178.42, 6,266.84 and 2,097.86

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Solution

The fourth proportional to 4,178.42, 6,266.84 and 2,097.86 is: 3,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.42 : 6,266.84 = 2,097.86 : x
  2. Step 2: Convert to fraction form
    4,178.42/6,266.84 = 2,097.86/x
  3. Step 3: Cross multiply
    4,178.42x = 6,266.84 × 2,097.86
  4. Step 4: Simplify right side
    4,178.42x = 13,146,973.87
  5. Step 5: Solve for x
    x = 13,146,973.87/4,178.42
  6. Step 6: Final answer
    x = 3,146.40

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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.