Home / 1,663.40-2,286.31-1,465.76

Finding the Fourth Proportional to 1,663.40, 2,286.31 and 1,465.76

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Solution

The fourth proportional to 1,663.40, 2,286.31 and 1,465.76 is: 2,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.40 : 2,286.31 = 1,465.76 : x
  2. Step 2: Convert to fraction form
    1,663.40/2,286.31 = 1,465.76/x
  3. Step 3: Cross multiply
    1,663.40x = 2,286.31 × 1,465.76
  4. Step 4: Simplify right side
    1,663.40x = 3,351,181.75
  5. Step 5: Solve for x
    x = 3,351,181.75/1,663.40
  6. Step 6: Final answer
    x = 2,014.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.