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Finding the Fourth Proportional to 2,450.88, 3,677.28 and 912

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Solution

The fourth proportional to 2,450.88, 3,677.28 and 912 is: 1,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.88 : 3,677.28 = 912 : x
  2. Step 2: Convert to fraction form
    2,450.88/3,677.28 = 912/x
  3. Step 3: Cross multiply
    2,450.88x = 3,677.28 × 912
  4. Step 4: Simplify right side
    2,450.88x = 3,353,679.36
  5. Step 5: Solve for x
    x = 3,353,679.36/2,450.88
  6. Step 6: Final answer
    x = 1,368.36

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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.