Home / 2,205.84-3,038.22-1,644.51

Finding the Fourth Proportional to 2,205.84, 3,038.22 and 1,644.51

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Solution

The fourth proportional to 2,205.84, 3,038.22 and 1,644.51 is: 2,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.84 : 3,038.22 = 1,644.51 : x
  2. Step 2: Convert to fraction form
    2,205.84/3,038.22 = 1,644.51/x
  3. Step 3: Cross multiply
    2,205.84x = 3,038.22 × 1,644.51
  4. Step 4: Simplify right side
    2,205.84x = 4,996,383.17
  5. Step 5: Solve for x
    x = 4,996,383.17/2,205.84
  6. Step 6: Final answer
    x = 2,265.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.