Home / 1,582.63-2,183.51-1,023.81

Finding the Fourth Proportional to 1,582.63, 2,183.51 and 1,023.81

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Solution

The fourth proportional to 1,582.63, 2,183.51 and 1,023.81 is: 1,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.63 : 2,183.51 = 1,023.81 : x
  2. Step 2: Convert to fraction form
    1,582.63/2,183.51 = 1,023.81/x
  3. Step 3: Cross multiply
    1,582.63x = 2,183.51 × 1,023.81
  4. Step 4: Simplify right side
    1,582.63x = 2,235,499.37
  5. Step 5: Solve for x
    x = 2,235,499.37/1,582.63
  6. Step 6: Final answer
    x = 1,412.52

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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.