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Finding the Fourth Proportional to 1,284.37, 1,926.56 and 919.87

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Solution

The fourth proportional to 1,284.37, 1,926.56 and 919.87 is: 1,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.37 : 1,926.56 = 919.87 : x
  2. Step 2: Convert to fraction form
    1,284.37/1,926.56 = 919.87/x
  3. Step 3: Cross multiply
    1,284.37x = 1,926.56 × 919.87
  4. Step 4: Simplify right side
    1,284.37x = 1,772,180.15
  5. Step 5: Solve for x
    x = 1,772,180.15/1,284.37
  6. Step 6: Final answer
    x = 1,379.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.