Home / 1,582.86-2,183.89-1,023.36

Finding the Fourth Proportional to 1,582.86, 2,183.89 and 1,023.36

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Solution

The fourth proportional to 1,582.86, 2,183.89 and 1,023.36 is: 1,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.86 : 2,183.89 = 1,023.36 : x
  2. Step 2: Convert to fraction form
    1,582.86/2,183.89 = 1,023.36/x
  3. Step 3: Cross multiply
    1,582.86x = 2,183.89 × 1,023.36
  4. Step 4: Simplify right side
    1,582.86x = 2,234,905.67
  5. Step 5: Solve for x
    x = 2,234,905.67/1,582.86
  6. Step 6: Final answer
    x = 1,411.94

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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.