Home / 1,451.09-2,002.28-821.58

Finding the Fourth Proportional to 1,451.09, 2,002.28 and 821.58

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Solution

The fourth proportional to 1,451.09, 2,002.28 and 821.58 is: 1,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.09 : 2,002.28 = 821.58 : x
  2. Step 2: Convert to fraction form
    1,451.09/2,002.28 = 821.58/x
  3. Step 3: Cross multiply
    1,451.09x = 2,002.28 × 821.58
  4. Step 4: Simplify right side
    1,451.09x = 1,645,024.67
  5. Step 5: Solve for x
    x = 1,645,024.67/1,451.09
  6. Step 6: Final answer
    x = 1,133.65

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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.