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Finding the Fourth Proportional to 2,649.40, 3,975.18 and 2,128.84

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Solution

The fourth proportional to 2,649.40, 3,975.18 and 2,128.84 is: 3,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.40 : 3,975.18 = 2,128.84 : x
  2. Step 2: Convert to fraction form
    2,649.40/3,975.18 = 2,128.84/x
  3. Step 3: Cross multiply
    2,649.40x = 3,975.18 × 2,128.84
  4. Step 4: Simplify right side
    2,649.40x = 8,462,522.19
  5. Step 5: Solve for x
    x = 8,462,522.19/2,649.40
  6. Step 6: Final answer
    x = 3,194.13

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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.