Home / 1,534.14-2,306.07-1,320.30

Finding the Fourth Proportional to 1,534.14, 2,306.07 and 1,320.30

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Solution

The fourth proportional to 1,534.14, 2,306.07 and 1,320.30 is: 1,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.14 : 2,306.07 = 1,320.30 : x
  2. Step 2: Convert to fraction form
    1,534.14/2,306.07 = 1,320.30/x
  3. Step 3: Cross multiply
    1,534.14x = 2,306.07 × 1,320.30
  4. Step 4: Simplify right side
    1,534.14x = 3,044,704.22
  5. Step 5: Solve for x
    x = 3,044,704.22/1,534.14
  6. Step 6: Final answer
    x = 1,984.63

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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.