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Finding the Fourth Proportional to 2,088.83, 3,133.57 and 992.59

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Solution

The fourth proportional to 2,088.83, 3,133.57 and 992.59 is: 1,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.83 : 3,133.57 = 992.59 : x
  2. Step 2: Convert to fraction form
    2,088.83/3,133.57 = 992.59/x
  3. Step 3: Cross multiply
    2,088.83x = 3,133.57 × 992.59
  4. Step 4: Simplify right side
    2,088.83x = 3,110,350.25
  5. Step 5: Solve for x
    x = 3,110,350.25/2,088.83
  6. Step 6: Final answer
    x = 1,489.04

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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.