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Finding the Fourth Proportional to 2,087.26, 3,128.46 and 854.08

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Solution

The fourth proportional to 2,087.26, 3,128.46 and 854.08 is: 1,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.26 : 3,128.46 = 854.08 : x
  2. Step 2: Convert to fraction form
    2,087.26/3,128.46 = 854.08/x
  3. Step 3: Cross multiply
    2,087.26x = 3,128.46 × 854.08
  4. Step 4: Simplify right side
    2,087.26x = 2,671,955.12
  5. Step 5: Solve for x
    x = 2,671,955.12/2,087.26
  6. Step 6: Final answer
    x = 1,280.13

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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.