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Finding the Fourth Proportional to 1,219.46, 1,829.10 and 913.28

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Solution

The fourth proportional to 1,219.46, 1,829.10 and 913.28 is: 1,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.46 : 1,829.10 = 913.28 : x
  2. Step 2: Convert to fraction form
    1,219.46/1,829.10 = 913.28/x
  3. Step 3: Cross multiply
    1,219.46x = 1,829.10 × 913.28
  4. Step 4: Simplify right side
    1,219.46x = 1,670,480.45
  5. Step 5: Solve for x
    x = 1,670,480.45/1,219.46
  6. Step 6: Final answer
    x = 1,369.85

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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.