Home / 1,528.64-2,289.12-1,205.76

Finding the Fourth Proportional to 1,528.64, 2,289.12 and 1,205.76

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Solution

The fourth proportional to 1,528.64, 2,289.12 and 1,205.76 is: 1,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.64 : 2,289.12 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    1,528.64/2,289.12 = 1,205.76/x
  3. Step 3: Cross multiply
    1,528.64x = 2,289.12 × 1,205.76
  4. Step 4: Simplify right side
    1,528.64x = 2,760,129.33
  5. Step 5: Solve for x
    x = 2,760,129.33/1,528.64
  6. Step 6: Final answer
    x = 1,805.61

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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.