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Finding the Fourth Proportional to 1,919.37, 2,880.06 and 945.34

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Solution

The fourth proportional to 1,919.37, 2,880.06 and 945.34 is: 1,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.37 : 2,880.06 = 945.34 : x
  2. Step 2: Convert to fraction form
    1,919.37/2,880.06 = 945.34/x
  3. Step 3: Cross multiply
    1,919.37x = 2,880.06 × 945.34
  4. Step 4: Simplify right side
    1,919.37x = 2,722,635.92
  5. Step 5: Solve for x
    x = 2,722,635.92/1,919.37
  6. Step 6: Final answer
    x = 1,418.50

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1.5x scale

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.