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Finding the Fourth Proportional to 2,480.09, 3,716.00 and 1,748.15

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Solution

The fourth proportional to 2,480.09, 3,716.00 and 1,748.15 is: 2,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.09 : 3,716.00 = 1,748.15 : x
  2. Step 2: Convert to fraction form
    2,480.09/3,716.00 = 1,748.15/x
  3. Step 3: Cross multiply
    2,480.09x = 3,716.00 × 1,748.15
  4. Step 4: Simplify right side
    2,480.09x = 6,496,098.08
  5. Step 5: Solve for x
    x = 6,496,098.08/2,480.09
  6. Step 6: Final answer
    x = 2,619.30

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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.