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Finding the Fourth Proportional to 1,971.53, 2,957.22 and 1,326.36

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Solution

The fourth proportional to 1,971.53, 2,957.22 and 1,326.36 is: 1,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.53 : 2,957.22 = 1,326.36 : x
  2. Step 2: Convert to fraction form
    1,971.53/2,957.22 = 1,326.36/x
  3. Step 3: Cross multiply
    1,971.53x = 2,957.22 × 1,326.36
  4. Step 4: Simplify right side
    1,971.53x = 3,922,338.32
  5. Step 5: Solve for x
    x = 3,922,338.32/1,971.53
  6. Step 6: Final answer
    x = 1,989.49

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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.