Home / 1,451.13-2,002.53-821.69

Finding the Fourth Proportional to 1,451.13, 2,002.53 and 821.69

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Solution

The fourth proportional to 1,451.13, 2,002.53 and 821.69 is: 1,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.13 : 2,002.53 = 821.69 : x
  2. Step 2: Convert to fraction form
    1,451.13/2,002.53 = 821.69/x
  3. Step 3: Cross multiply
    1,451.13x = 2,002.53 × 821.69
  4. Step 4: Simplify right side
    1,451.13x = 1,645,448.86
  5. Step 5: Solve for x
    x = 1,645,448.86/1,451.13
  6. Step 6: Final answer
    x = 1,133.91

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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.