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Finding the Fourth Proportional to 1,970.89, 2,955.42 and 738.28

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Solution

The fourth proportional to 1,970.89, 2,955.42 and 738.28 is: 1,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.89 : 2,955.42 = 738.28 : x
  2. Step 2: Convert to fraction form
    1,970.89/2,955.42 = 738.28/x
  3. Step 3: Cross multiply
    1,970.89x = 2,955.42 × 738.28
  4. Step 4: Simplify right side
    1,970.89x = 2,181,927.48
  5. Step 5: Solve for x
    x = 2,181,927.48/1,970.89
  6. Step 6: Final answer
    x = 1,107.08

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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.