Home / 2,284.14-3,426.21-552.76

Finding the Fourth Proportional to 2,284.14, 3,426.21 and 552.76

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Solution

The fourth proportional to 2,284.14, 3,426.21 and 552.76 is: 829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.14 : 3,426.21 = 552.76 : x
  2. Step 2: Convert to fraction form
    2,284.14/3,426.21 = 552.76/x
  3. Step 3: Cross multiply
    2,284.14x = 3,426.21 × 552.76
  4. Step 4: Simplify right side
    2,284.14x = 1,893,878.51
  5. Step 5: Solve for x
    x = 1,893,878.51/2,284.14
  6. Step 6: Final answer
    x = 829.14

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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.