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Finding the Fourth Proportional to 2,535.84, 3,803.04 and 804.42

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Solution

The fourth proportional to 2,535.84, 3,803.04 and 804.42 is: 1,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.84 : 3,803.04 = 804.42 : x
  2. Step 2: Convert to fraction form
    2,535.84/3,803.04 = 804.42/x
  3. Step 3: Cross multiply
    2,535.84x = 3,803.04 × 804.42
  4. Step 4: Simplify right side
    2,535.84x = 3,059,241.44
  5. Step 5: Solve for x
    x = 3,059,241.44/2,535.84
  6. Step 6: Final answer
    x = 1,206.40

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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.