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Finding the Fourth Proportional to 2,380.16, 3,567.78 and 994.31

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Solution

The fourth proportional to 2,380.16, 3,567.78 and 994.31 is: 1,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.16 : 3,567.78 = 994.31 : x
  2. Step 2: Convert to fraction form
    2,380.16/3,567.78 = 994.31/x
  3. Step 3: Cross multiply
    2,380.16x = 3,567.78 × 994.31
  4. Step 4: Simplify right side
    2,380.16x = 3,547,461.49
  5. Step 5: Solve for x
    x = 3,547,461.49/2,380.16
  6. Step 6: Final answer
    x = 1,490.43

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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.