Home / 1,458.19-2,183.64-969.76

Finding the Fourth Proportional to 1,458.19, 2,183.64 and 969.76

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Solution

The fourth proportional to 1,458.19, 2,183.64 and 969.76 is: 1,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.19 : 2,183.64 = 969.76 : x
  2. Step 2: Convert to fraction form
    1,458.19/2,183.64 = 969.76/x
  3. Step 3: Cross multiply
    1,458.19x = 2,183.64 × 969.76
  4. Step 4: Simplify right side
    1,458.19x = 2,117,606.73
  5. Step 5: Solve for x
    x = 2,117,606.73/1,458.19
  6. Step 6: Final answer
    x = 1,452.22

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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.