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Finding the Fourth Proportional to 2,674.64, 4,010.94 and 919.32

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Solution

The fourth proportional to 2,674.64, 4,010.94 and 919.32 is: 1,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.64 : 4,010.94 = 919.32 : x
  2. Step 2: Convert to fraction form
    2,674.64/4,010.94 = 919.32/x
  3. Step 3: Cross multiply
    2,674.64x = 4,010.94 × 919.32
  4. Step 4: Simplify right side
    2,674.64x = 3,687,337.36
  5. Step 5: Solve for x
    x = 3,687,337.36/2,674.64
  6. Step 6: Final answer
    x = 1,378.63

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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.