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Finding the Fourth Proportional to 1,628.02, 2,246.66 and 919.85

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Solution

The fourth proportional to 1,628.02, 2,246.66 and 919.85 is: 1,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.02 : 2,246.66 = 919.85 : x
  2. Step 2: Convert to fraction form
    1,628.02/2,246.66 = 919.85/x
  3. Step 3: Cross multiply
    1,628.02x = 2,246.66 × 919.85
  4. Step 4: Simplify right side
    1,628.02x = 2,066,591.22
  5. Step 5: Solve for x
    x = 2,066,591.22/1,628.02
  6. Step 6: Final answer
    x = 1,269.39

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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.