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Finding the Fourth Proportional to 1,802.57, 2,704.30 and 1,062.81

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Solution

The fourth proportional to 1,802.57, 2,704.30 and 1,062.81 is: 1,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.57 : 2,704.30 = 1,062.81 : x
  2. Step 2: Convert to fraction form
    1,802.57/2,704.30 = 1,062.81/x
  3. Step 3: Cross multiply
    1,802.57x = 2,704.30 × 1,062.81
  4. Step 4: Simplify right side
    1,802.57x = 2,874,157.08
  5. Step 5: Solve for x
    x = 2,874,157.08/1,802.57
  6. Step 6: Final answer
    x = 1,594.48

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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.