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Finding the Fourth Proportional to 1,969.76, 2,955.24 and 737.29

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Solution

The fourth proportional to 1,969.76, 2,955.24 and 737.29 is: 1,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.76 : 2,955.24 = 737.29 : x
  2. Step 2: Convert to fraction form
    1,969.76/2,955.24 = 737.29/x
  3. Step 3: Cross multiply
    1,969.76x = 2,955.24 × 737.29
  4. Step 4: Simplify right side
    1,969.76x = 2,178,868.90
  5. Step 5: Solve for x
    x = 2,178,868.90/1,969.76
  6. Step 6: Final answer
    x = 1,106.16

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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.