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Finding the Fourth Proportional to 1,225.76, 1,836.12 and 914

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Solution

The fourth proportional to 1,225.76, 1,836.12 and 914 is: 1,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.76 : 1,836.12 = 914 : x
  2. Step 2: Convert to fraction form
    1,225.76/1,836.12 = 914/x
  3. Step 3: Cross multiply
    1,225.76x = 1,836.12 × 914
  4. Step 4: Simplify right side
    1,225.76x = 1,678,213.68
  5. Step 5: Solve for x
    x = 1,678,213.68/1,225.76
  6. Step 6: Final answer
    x = 1,369.12

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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.