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Finding the Fourth Proportional to 2,489.72, 3,733.97 and 846.23

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Solution

The fourth proportional to 2,489.72, 3,733.97 and 846.23 is: 1,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.72 : 3,733.97 = 846.23 : x
  2. Step 2: Convert to fraction form
    2,489.72/3,733.97 = 846.23/x
  3. Step 3: Cross multiply
    2,489.72x = 3,733.97 × 846.23
  4. Step 4: Simplify right side
    2,489.72x = 3,159,774.53
  5. Step 5: Solve for x
    x = 3,159,774.53/2,489.72
  6. Step 6: Final answer
    x = 1,269.13

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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.