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Finding the Fourth Proportional to 2,128.96, 3,188.80 and 1,153

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Solution

The fourth proportional to 2,128.96, 3,188.80 and 1,153 is: 1,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.96 : 3,188.80 = 1,153 : x
  2. Step 2: Convert to fraction form
    2,128.96/3,188.80 = 1,153/x
  3. Step 3: Cross multiply
    2,128.96x = 3,188.80 × 1,153
  4. Step 4: Simplify right side
    2,128.96x = 3,676,686.40
  5. Step 5: Solve for x
    x = 3,676,686.40/2,128.96
  6. Step 6: Final answer
    x = 1,726.99

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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.