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Finding the Fourth Proportional to 1,610.28, 2,415.80 and 514.60

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Solution

The fourth proportional to 1,610.28, 2,415.80 and 514.60 is: 772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.28 : 2,415.80 = 514.60 : x
  2. Step 2: Convert to fraction form
    1,610.28/2,415.80 = 514.60/x
  3. Step 3: Cross multiply
    1,610.28x = 2,415.80 × 514.60
  4. Step 4: Simplify right side
    1,610.28x = 1,243,170.68
  5. Step 5: Solve for x
    x = 1,243,170.68/1,610.28
  6. Step 6: Final answer
    x = 772.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.