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Finding the Fourth Proportional to 2,535.07, 3,802.61 and 803.69

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Solution

The fourth proportional to 2,535.07, 3,802.61 and 803.69 is: 1,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.07 : 3,802.61 = 803.69 : x
  2. Step 2: Convert to fraction form
    2,535.07/3,802.61 = 803.69/x
  3. Step 3: Cross multiply
    2,535.07x = 3,802.61 × 803.69
  4. Step 4: Simplify right side
    2,535.07x = 3,056,119.63
  5. Step 5: Solve for x
    x = 3,056,119.63/2,535.07
  6. Step 6: Final answer
    x = 1,205.54

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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.