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Finding the Fourth Proportional to 1,463.63, 2,019.80 and 1,090.92

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Solution

The fourth proportional to 1,463.63, 2,019.80 and 1,090.92 is: 1,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.63 : 2,019.80 = 1,090.92 : x
  2. Step 2: Convert to fraction form
    1,463.63/2,019.80 = 1,090.92/x
  3. Step 3: Cross multiply
    1,463.63x = 2,019.80 × 1,090.92
  4. Step 4: Simplify right side
    1,463.63x = 2,203,450.52
  5. Step 5: Solve for x
    x = 2,203,450.52/1,463.63
  6. Step 6: Final answer
    x = 1,505.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.