Home / 1,828.89-2,737.83-1,582.84

Finding the Fourth Proportional to 1,828.89, 2,737.83 and 1,582.84

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Solution

The fourth proportional to 1,828.89, 2,737.83 and 1,582.84 is: 2,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.89 : 2,737.83 = 1,582.84 : x
  2. Step 2: Convert to fraction form
    1,828.89/2,737.83 = 1,582.84/x
  3. Step 3: Cross multiply
    1,828.89x = 2,737.83 × 1,582.84
  4. Step 4: Simplify right side
    1,828.89x = 4,333,546.84
  5. Step 5: Solve for x
    x = 4,333,546.84/1,828.89
  6. Step 6: Final answer
    x = 2,369.50

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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.