Home / 1,610.28-2,415.24-455.94

Finding the Fourth Proportional to 1,610.28, 2,415.24 and 455.94

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Solution

The fourth proportional to 1,610.28, 2,415.24 and 455.94 is: 683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.28 : 2,415.24 = 455.94 : x
  2. Step 2: Convert to fraction form
    1,610.28/2,415.24 = 455.94/x
  3. Step 3: Cross multiply
    1,610.28x = 2,415.24 × 455.94
  4. Step 4: Simplify right side
    1,610.28x = 1,101,204.53
  5. Step 5: Solve for x
    x = 1,101,204.53/1,610.28
  6. Step 6: Final answer
    x = 683.86

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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.