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Finding the Fourth Proportional to 2,724.19, 4,088.12 and 992.81

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Solution

The fourth proportional to 2,724.19, 4,088.12 and 992.81 is: 1,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.19 : 4,088.12 = 992.81 : x
  2. Step 2: Convert to fraction form
    2,724.19/4,088.12 = 992.81/x
  3. Step 3: Cross multiply
    2,724.19x = 4,088.12 × 992.81
  4. Step 4: Simplify right side
    2,724.19x = 4,058,731.67
  5. Step 5: Solve for x
    x = 4,058,731.67/2,724.19
  6. Step 6: Final answer
    x = 1,489.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.