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Finding the Fourth Proportional to 1,463.75, 2,185.19 and 1,412.49

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Solution

The fourth proportional to 1,463.75, 2,185.19 and 1,412.49 is: 2,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.75 : 2,185.19 = 1,412.49 : x
  2. Step 2: Convert to fraction form
    1,463.75/2,185.19 = 1,412.49/x
  3. Step 3: Cross multiply
    1,463.75x = 2,185.19 × 1,412.49
  4. Step 4: Simplify right side
    1,463.75x = 3,086,551.96
  5. Step 5: Solve for x
    x = 3,086,551.96/1,463.75
  6. Step 6: Final answer
    x = 2,108.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.