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Finding the Fourth Proportional to 2,480.25, 3,720.03 and 836.58

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Solution

The fourth proportional to 2,480.25, 3,720.03 and 836.58 is: 1,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.25 : 3,720.03 = 836.58 : x
  2. Step 2: Convert to fraction form
    2,480.25/3,720.03 = 836.58/x
  3. Step 3: Cross multiply
    2,480.25x = 3,720.03 × 836.58
  4. Step 4: Simplify right side
    2,480.25x = 3,112,118.22
  5. Step 5: Solve for x
    x = 3,112,118.22/2,480.25
  6. Step 6: Final answer
    x = 1,254.76

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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.