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Finding the Fourth Proportional to 2,716.26, 3,746.16 and 2,008.32

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Solution

The fourth proportional to 2,716.26, 3,746.16 and 2,008.32 is: 2,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.26 : 3,746.16 = 2,008.32 : x
  2. Step 2: Convert to fraction form
    2,716.26/3,746.16 = 2,008.32/x
  3. Step 3: Cross multiply
    2,716.26x = 3,746.16 × 2,008.32
  4. Step 4: Simplify right side
    2,716.26x = 7,523,488.05
  5. Step 5: Solve for x
    x = 7,523,488.05/2,716.26
  6. Step 6: Final answer
    x = 2,769.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.