Home / 1,530.67-2,296.46-799.84

Finding the Fourth Proportional to 1,530.67, 2,296.46 and 799.84

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Solution

The fourth proportional to 1,530.67, 2,296.46 and 799.84 is: 1,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.67 : 2,296.46 = 799.84 : x
  2. Step 2: Convert to fraction form
    1,530.67/2,296.46 = 799.84/x
  3. Step 3: Cross multiply
    1,530.67x = 2,296.46 × 799.84
  4. Step 4: Simplify right side
    1,530.67x = 1,836,800.57
  5. Step 5: Solve for x
    x = 1,836,800.57/1,530.67
  6. Step 6: Final answer
    x = 1,200.00

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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.