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Finding the Fourth Proportional to 1,952.23, 2,693.17 and 1,123.75

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Solution

The fourth proportional to 1,952.23, 2,693.17 and 1,123.75 is: 1,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.23 : 2,693.17 = 1,123.75 : x
  2. Step 2: Convert to fraction form
    1,952.23/2,693.17 = 1,123.75/x
  3. Step 3: Cross multiply
    1,952.23x = 2,693.17 × 1,123.75
  4. Step 4: Simplify right side
    1,952.23x = 3,026,449.79
  5. Step 5: Solve for x
    x = 3,026,449.79/1,952.23
  6. Step 6: Final answer
    x = 1,550.25

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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.