Home / 1,828.98-2,522.34-1,634.58

Finding the Fourth Proportional to 1,828.98, 2,522.34 and 1,634.58

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Solution

The fourth proportional to 1,828.98, 2,522.34 and 1,634.58 is: 2,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.98 : 2,522.34 = 1,634.58 : x
  2. Step 2: Convert to fraction form
    1,828.98/2,522.34 = 1,634.58/x
  3. Step 3: Cross multiply
    1,828.98x = 2,522.34 × 1,634.58
  4. Step 4: Simplify right side
    1,828.98x = 4,122,966.52
  5. Step 5: Solve for x
    x = 4,122,966.52/1,828.98
  6. Step 6: Final answer
    x = 2,254.24

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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.