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Finding the Fourth Proportional to 2,369.14, 3,554.88 and 982.42

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Solution

The fourth proportional to 2,369.14, 3,554.88 and 982.42 is: 1,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.14 : 3,554.88 = 982.42 : x
  2. Step 2: Convert to fraction form
    2,369.14/3,554.88 = 982.42/x
  3. Step 3: Cross multiply
    2,369.14x = 3,554.88 × 982.42
  4. Step 4: Simplify right side
    2,369.14x = 3,492,385.21
  5. Step 5: Solve for x
    x = 3,492,385.21/2,369.14
  6. Step 6: Final answer
    x = 1,474.12

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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.