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Finding the Fourth Proportional to 2,080.35, 3,124.85 and 1,650.51

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Solution

The fourth proportional to 2,080.35, 3,124.85 and 1,650.51 is: 2,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.35 : 3,124.85 = 1,650.51 : x
  2. Step 2: Convert to fraction form
    2,080.35/3,124.85 = 1,650.51/x
  3. Step 3: Cross multiply
    2,080.35x = 3,124.85 × 1,650.51
  4. Step 4: Simplify right side
    2,080.35x = 5,157,587.92
  5. Step 5: Solve for x
    x = 5,157,587.92/2,080.35
  6. Step 6: Final answer
    x = 2,479.19

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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.