Home / 1,882.16-2,829.32-1,823.84

Finding the Fourth Proportional to 1,882.16, 2,829.32 and 1,823.84

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Solution

The fourth proportional to 1,882.16, 2,829.32 and 1,823.84 is: 2,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.16 : 2,829.32 = 1,823.84 : x
  2. Step 2: Convert to fraction form
    1,882.16/2,829.32 = 1,823.84/x
  3. Step 3: Cross multiply
    1,882.16x = 2,829.32 × 1,823.84
  4. Step 4: Simplify right side
    1,882.16x = 5,160,226.99
  5. Step 5: Solve for x
    x = 5,160,226.99/1,882.16
  6. Step 6: Final answer
    x = 2,741.65

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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.