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Finding the Fourth Proportional to 2,650.10, 3,975.17 and 897.08

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Solution

The fourth proportional to 2,650.10, 3,975.17 and 897.08 is: 1,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.10 : 3,975.17 = 897.08 : x
  2. Step 2: Convert to fraction form
    2,650.10/3,975.17 = 897.08/x
  3. Step 3: Cross multiply
    2,650.10x = 3,975.17 × 897.08
  4. Step 4: Simplify right side
    2,650.10x = 3,566,021.14
  5. Step 5: Solve for x
    x = 3,566,021.14/2,650.10
  6. Step 6: Final answer
    x = 1,345.62

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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.