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Finding the Fourth Proportional to 2,088.28, 3,129.96 and 855.08

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Solution

The fourth proportional to 2,088.28, 3,129.96 and 855.08 is: 1,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.28 : 3,129.96 = 855.08 : x
  2. Step 2: Convert to fraction form
    2,088.28/3,129.96 = 855.08/x
  3. Step 3: Cross multiply
    2,088.28x = 3,129.96 × 855.08
  4. Step 4: Simplify right side
    2,088.28x = 2,676,366.20
  5. Step 5: Solve for x
    x = 2,676,366.20/2,088.28
  6. Step 6: Final answer
    x = 1,281.61

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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.