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Finding the Fourth Proportional to 1,970.08, 2,954.84 and 737.32

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Solution

The fourth proportional to 1,970.08, 2,954.84 and 737.32 is: 1,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.08 : 2,954.84 = 737.32 : x
  2. Step 2: Convert to fraction form
    1,970.08/2,954.84 = 737.32/x
  3. Step 3: Cross multiply
    1,970.08x = 2,954.84 × 737.32
  4. Step 4: Simplify right side
    1,970.08x = 2,178,662.63
  5. Step 5: Solve for x
    x = 2,178,662.63/1,970.08
  6. Step 6: Final answer
    x = 1,105.88

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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.