Home / 1,463.14-2,020.85-1,165.39

Finding the Fourth Proportional to 1,463.14, 2,020.85 and 1,165.39

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Solution

The fourth proportional to 1,463.14, 2,020.85 and 1,165.39 is: 1,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.14 : 2,020.85 = 1,165.39 : x
  2. Step 2: Convert to fraction form
    1,463.14/2,020.85 = 1,165.39/x
  3. Step 3: Cross multiply
    1,463.14x = 2,020.85 × 1,165.39
  4. Step 4: Simplify right side
    1,463.14x = 2,355,071.87
  5. Step 5: Solve for x
    x = 2,355,071.87/1,463.14
  6. Step 6: Final answer
    x = 1,609.60

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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.