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Finding the Fourth Proportional to 1,610.98, 2,415.79 and 515.05

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Solution

The fourth proportional to 1,610.98, 2,415.79 and 515.05 is: 772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.98 : 2,415.79 = 515.05 : x
  2. Step 2: Convert to fraction form
    1,610.98/2,415.79 = 515.05/x
  3. Step 3: Cross multiply
    1,610.98x = 2,415.79 × 515.05
  4. Step 4: Simplify right side
    1,610.98x = 1,244,237.99
  5. Step 5: Solve for x
    x = 1,244,237.99/1,610.98
  6. Step 6: Final answer
    x = 772.35

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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.