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Finding the Fourth Proportional to 2,645.10, 3,968.12 and 890.28

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Solution

The fourth proportional to 2,645.10, 3,968.12 and 890.28 is: 1,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.10 : 3,968.12 = 890.28 : x
  2. Step 2: Convert to fraction form
    2,645.10/3,968.12 = 890.28/x
  3. Step 3: Cross multiply
    2,645.10x = 3,968.12 × 890.28
  4. Step 4: Simplify right side
    2,645.10x = 3,532,740.10
  5. Step 5: Solve for x
    x = 3,532,740.10/2,645.10
  6. Step 6: Final answer
    x = 1,335.58

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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.