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Finding the Fourth Proportional to 2,554.16, 3,830.43 and 994.06

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Solution

The fourth proportional to 2,554.16, 3,830.43 and 994.06 is: 1,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.16 : 3,830.43 = 994.06 : x
  2. Step 2: Convert to fraction form
    2,554.16/3,830.43 = 994.06/x
  3. Step 3: Cross multiply
    2,554.16x = 3,830.43 × 994.06
  4. Step 4: Simplify right side
    2,554.16x = 3,807,677.25
  5. Step 5: Solve for x
    x = 3,807,677.25/2,554.16
  6. Step 6: Final answer
    x = 1,490.77

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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.