Home / 2,284.84-3,427.21-824.95

Finding the Fourth Proportional to 2,284.84, 3,427.21 and 824.95

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Solution

The fourth proportional to 2,284.84, 3,427.21 and 824.95 is: 1,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.84 : 3,427.21 = 824.95 : x
  2. Step 2: Convert to fraction form
    2,284.84/3,427.21 = 824.95/x
  3. Step 3: Cross multiply
    2,284.84x = 3,427.21 × 824.95
  4. Step 4: Simplify right side
    2,284.84x = 2,827,276.89
  5. Step 5: Solve for x
    x = 2,827,276.89/2,284.84
  6. Step 6: Final answer
    x = 1,237.41

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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.