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Finding the Fourth Proportional to 2,363.19, 3,544.57 and 804.07

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Solution

The fourth proportional to 2,363.19, 3,544.57 and 804.07 is: 1,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.19 : 3,544.57 = 804.07 : x
  2. Step 2: Convert to fraction form
    2,363.19/3,544.57 = 804.07/x
  3. Step 3: Cross multiply
    2,363.19x = 3,544.57 × 804.07
  4. Step 4: Simplify right side
    2,363.19x = 2,850,082.40
  5. Step 5: Solve for x
    x = 2,850,082.40/2,363.19
  6. Step 6: Final answer
    x = 1,206.03

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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.