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Finding the Fourth Proportional to 1,928.56, 2,661.24 and 1,089.14

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Solution

The fourth proportional to 1,928.56, 2,661.24 and 1,089.14 is: 1,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.56 : 2,661.24 = 1,089.14 : x
  2. Step 2: Convert to fraction form
    1,928.56/2,661.24 = 1,089.14/x
  3. Step 3: Cross multiply
    1,928.56x = 2,661.24 × 1,089.14
  4. Step 4: Simplify right side
    1,928.56x = 2,898,462.93
  5. Step 5: Solve for x
    x = 2,898,462.93/1,928.56
  6. Step 6: Final answer
    x = 1,502.92

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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.