Home / 1,610.24-2,415.74-499.60

Finding the Fourth Proportional to 1,610.24, 2,415.74 and 499.60

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Solution

The fourth proportional to 1,610.24, 2,415.74 and 499.60 is: 749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.24 : 2,415.74 = 499.60 : x
  2. Step 2: Convert to fraction form
    1,610.24/2,415.74 = 499.60/x
  3. Step 3: Cross multiply
    1,610.24x = 2,415.74 × 499.60
  4. Step 4: Simplify right side
    1,610.24x = 1,206,902.53
  5. Step 5: Solve for x
    x = 1,206,902.53/1,610.24
  6. Step 6: Final answer
    x = 749.52

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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.