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Finding the Fourth Proportional to 1,970.97, 2,953.90 and 736.90

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Solution

The fourth proportional to 1,970.97, 2,953.90 and 736.90 is: 1,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.97 : 2,953.90 = 736.90 : x
  2. Step 2: Convert to fraction form
    1,970.97/2,953.90 = 736.90/x
  3. Step 3: Cross multiply
    1,970.97x = 2,953.90 × 736.90
  4. Step 4: Simplify right side
    1,970.97x = 2,176,722.45
  5. Step 5: Solve for x
    x = 2,176,722.45/1,970.97
  6. Step 6: Final answer
    x = 1,104.39

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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.