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Finding the Fourth Proportional to 1,416.89, 1,954.62 and 919.68

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Solution

The fourth proportional to 1,416.89, 1,954.62 and 919.68 is: 1,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.89 : 1,954.62 = 919.68 : x
  2. Step 2: Convert to fraction form
    1,416.89/1,954.62 = 919.68/x
  3. Step 3: Cross multiply
    1,416.89x = 1,954.62 × 919.68
  4. Step 4: Simplify right side
    1,416.89x = 1,797,624.92
  5. Step 5: Solve for x
    x = 1,797,624.92/1,416.89
  6. Step 6: Final answer
    x = 1,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.