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Finding the Fourth Proportional to 6,954.40, 10,431.49 and 1,689.45

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Solution

The fourth proportional to 6,954.40, 10,431.49 and 1,689.45 is: 2,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.40 : 10,431.49 = 1,689.45 : x
  2. Step 2: Convert to fraction form
    6,954.40/10,431.49 = 1,689.45/x
  3. Step 3: Cross multiply
    6,954.40x = 10,431.49 × 1,689.45
  4. Step 4: Simplify right side
    6,954.40x = 17,623,428.62
  5. Step 5: Solve for x
    x = 17,623,428.62/6,954.40
  6. Step 6: Final answer
    x = 2,534.14

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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.