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Finding the Fourth Proportional to 1,512.92, 2,088.05 and 923.79

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Solution

The fourth proportional to 1,512.92, 2,088.05 and 923.79 is: 1,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.92 : 2,088.05 = 923.79 : x
  2. Step 2: Convert to fraction form
    1,512.92/2,088.05 = 923.79/x
  3. Step 3: Cross multiply
    1,512.92x = 2,088.05 × 923.79
  4. Step 4: Simplify right side
    1,512.92x = 1,928,919.71
  5. Step 5: Solve for x
    x = 1,928,919.71/1,512.92
  6. Step 6: Final answer
    x = 1,274.97

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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.