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Finding the Fourth Proportional to 2,088.41, 3,133.22 and 1,256.40

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Solution

The fourth proportional to 2,088.41, 3,133.22 and 1,256.40 is: 1,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.41 : 3,133.22 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    2,088.41/3,133.22 = 1,256.40/x
  3. Step 3: Cross multiply
    2,088.41x = 3,133.22 × 1,256.40
  4. Step 4: Simplify right side
    2,088.41x = 3,936,571.33
  5. Step 5: Solve for x
    x = 3,936,571.33/2,088.41
  6. Step 6: Final answer
    x = 1,884.97

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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.