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Finding the Fourth Proportional to 2,725.60, 4,080.30 and 1,802.20

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Solution

The fourth proportional to 2,725.60, 4,080.30 and 1,802.20 is: 2,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.60 : 4,080.30 = 1,802.20 : x
  2. Step 2: Convert to fraction form
    2,725.60/4,080.30 = 1,802.20/x
  3. Step 3: Cross multiply
    2,725.60x = 4,080.30 × 1,802.20
  4. Step 4: Simplify right side
    2,725.60x = 7,353,516.66
  5. Step 5: Solve for x
    x = 7,353,516.66/2,725.60
  6. Step 6: Final answer
    x = 2,697.94

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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.