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Finding the Fourth Proportional to 1,957.67, 2,703.22 and 1,297.47

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Solution

The fourth proportional to 1,957.67, 2,703.22 and 1,297.47 is: 1,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.67 : 2,703.22 = 1,297.47 : x
  2. Step 2: Convert to fraction form
    1,957.67/2,703.22 = 1,297.47/x
  3. Step 3: Cross multiply
    1,957.67x = 2,703.22 × 1,297.47
  4. Step 4: Simplify right side
    1,957.67x = 3,507,345.84
  5. Step 5: Solve for x
    x = 3,507,345.84/1,957.67
  6. Step 6: Final answer
    x = 1,791.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.