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Finding the Fourth Proportional to 2,087.70, 3,128.04 and 1,263.47

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Solution

The fourth proportional to 2,087.70, 3,128.04 and 1,263.47 is: 1,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.70 : 3,128.04 = 1,263.47 : x
  2. Step 2: Convert to fraction form
    2,087.70/3,128.04 = 1,263.47/x
  3. Step 3: Cross multiply
    2,087.70x = 3,128.04 × 1,263.47
  4. Step 4: Simplify right side
    2,087.70x = 3,952,169.06
  5. Step 5: Solve for x
    x = 3,952,169.06/2,087.70
  6. Step 6: Final answer
    x = 1,893.07

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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.