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Finding the Fourth Proportional to 1,970.25, 2,953.78 and 737.49

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Solution

The fourth proportional to 1,970.25, 2,953.78 and 737.49 is: 1,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.25 : 2,953.78 = 737.49 : x
  2. Step 2: Convert to fraction form
    1,970.25/2,953.78 = 737.49/x
  3. Step 3: Cross multiply
    1,970.25x = 2,953.78 × 737.49
  4. Step 4: Simplify right side
    1,970.25x = 2,178,383.21
  5. Step 5: Solve for x
    x = 2,178,383.21/1,970.25
  6. Step 6: Final answer
    x = 1,105.64

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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.