Home / 1,539.19-2,306.83-983.68

Finding the Fourth Proportional to 1,539.19, 2,306.83 and 983.68

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Solution

The fourth proportional to 1,539.19, 2,306.83 and 983.68 is: 1,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.19 : 2,306.83 = 983.68 : x
  2. Step 2: Convert to fraction form
    1,539.19/2,306.83 = 983.68/x
  3. Step 3: Cross multiply
    1,539.19x = 2,306.83 × 983.68
  4. Step 4: Simplify right side
    1,539.19x = 2,269,186.65
  5. Step 5: Solve for x
    x = 2,269,186.65/1,539.19
  6. Step 6: Final answer
    x = 1,474.28

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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.