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Finding the Fourth Proportional to 2,650.29, 3,975.68 and 895.22

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Solution

The fourth proportional to 2,650.29, 3,975.68 and 895.22 is: 1,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.29 : 3,975.68 = 895.22 : x
  2. Step 2: Convert to fraction form
    2,650.29/3,975.68 = 895.22/x
  3. Step 3: Cross multiply
    2,650.29x = 3,975.68 × 895.22
  4. Step 4: Simplify right side
    2,650.29x = 3,559,083.90
  5. Step 5: Solve for x
    x = 3,559,083.90/2,650.29
  6. Step 6: Final answer
    x = 1,342.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.