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Finding the Fourth Proportional to 2,872.42, 4,308.84 and 926.02

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Solution

The fourth proportional to 2,872.42, 4,308.84 and 926.02 is: 1,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.42 : 4,308.84 = 926.02 : x
  2. Step 2: Convert to fraction form
    2,872.42/4,308.84 = 926.02/x
  3. Step 3: Cross multiply
    2,872.42x = 4,308.84 × 926.02
  4. Step 4: Simplify right side
    2,872.42x = 3,990,072.02
  5. Step 5: Solve for x
    x = 3,990,072.02/2,872.42
  6. Step 6: Final answer
    x = 1,389.10

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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.