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Finding the Fourth Proportional to 1,970.49, 2,955.81 and 737.77

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Solution

The fourth proportional to 1,970.49, 2,955.81 and 737.77 is: 1,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.49 : 2,955.81 = 737.77 : x
  2. Step 2: Convert to fraction form
    1,970.49/2,955.81 = 737.77/x
  3. Step 3: Cross multiply
    1,970.49x = 2,955.81 × 737.77
  4. Step 4: Simplify right side
    1,970.49x = 2,180,707.94
  5. Step 5: Solve for x
    x = 2,180,707.94/1,970.49
  6. Step 6: Final answer
    x = 1,106.68

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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.