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Finding the Fourth Proportional to 1,538.54, 2,119.48 and 1,223.71

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Solution

The fourth proportional to 1,538.54, 2,119.48 and 1,223.71 is: 1,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.54 : 2,119.48 = 1,223.71 : x
  2. Step 2: Convert to fraction form
    1,538.54/2,119.48 = 1,223.71/x
  3. Step 3: Cross multiply
    1,538.54x = 2,119.48 × 1,223.71
  4. Step 4: Simplify right side
    1,538.54x = 2,593,620.51
  5. Step 5: Solve for x
    x = 2,593,620.51/1,538.54
  6. Step 6: Final answer
    x = 1,685.77

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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.