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Finding the Fourth Proportional to 2,128.94, 3,188.82 and 1,152.98

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Solution

The fourth proportional to 2,128.94, 3,188.82 and 1,152.98 is: 1,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.94 : 3,188.82 = 1,152.98 : x
  2. Step 2: Convert to fraction form
    2,128.94/3,188.82 = 1,152.98/x
  3. Step 3: Cross multiply
    2,128.94x = 3,188.82 × 1,152.98
  4. Step 4: Simplify right side
    2,128.94x = 3,676,645.68
  5. Step 5: Solve for x
    x = 3,676,645.68/2,128.94
  6. Step 6: Final answer
    x = 1,726.98

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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.