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Finding the Fourth Proportional to 2,535.64, 3,802.90 and 803.80

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Solution

The fourth proportional to 2,535.64, 3,802.90 and 803.80 is: 1,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.64 : 3,802.90 = 803.80 : x
  2. Step 2: Convert to fraction form
    2,535.64/3,802.90 = 803.80/x
  3. Step 3: Cross multiply
    2,535.64x = 3,802.90 × 803.80
  4. Step 4: Simplify right side
    2,535.64x = 3,056,771.02
  5. Step 5: Solve for x
    x = 3,056,771.02/2,535.64
  6. Step 6: Final answer
    x = 1,205.52

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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.