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Finding the Fourth Proportional to 1,969.51, 2,952.66 and 736.74

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Solution

The fourth proportional to 1,969.51, 2,952.66 and 736.74 is: 1,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.51 : 2,952.66 = 736.74 : x
  2. Step 2: Convert to fraction form
    1,969.51/2,952.66 = 736.74/x
  3. Step 3: Cross multiply
    1,969.51x = 2,952.66 × 736.74
  4. Step 4: Simplify right side
    1,969.51x = 2,175,327.97
  5. Step 5: Solve for x
    x = 2,175,327.97/1,969.51
  6. Step 6: Final answer
    x = 1,104.50

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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.