Home / 1,537.88-2,306.18-844.36

Finding the Fourth Proportional to 1,537.88, 2,306.18 and 844.36

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Solution

The fourth proportional to 1,537.88, 2,306.18 and 844.36 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.88 : 2,306.18 = 844.36 : x
  2. Step 2: Convert to fraction form
    1,537.88/2,306.18 = 844.36/x
  3. Step 3: Cross multiply
    1,537.88x = 2,306.18 × 844.36
  4. Step 4: Simplify right side
    1,537.88x = 1,947,246.14
  5. Step 5: Solve for x
    x = 1,947,246.14/1,537.88
  6. Step 6: Final answer
    x = 1,266.19

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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.