Home / 2,547.24-3,816.54-2,028.84

Finding the Fourth Proportional to 2,547.24, 3,816.54 and 2,028.84

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Solution

The fourth proportional to 2,547.24, 3,816.54 and 2,028.84 is: 3,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.24 : 3,816.54 = 2,028.84 : x
  2. Step 2: Convert to fraction form
    2,547.24/3,816.54 = 2,028.84/x
  3. Step 3: Cross multiply
    2,547.24x = 3,816.54 × 2,028.84
  4. Step 4: Simplify right side
    2,547.24x = 7,743,149.01
  5. Step 5: Solve for x
    x = 7,743,149.01/2,547.24
  6. Step 6: Final answer
    x = 3,039.82

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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.