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Finding the Fourth Proportional to 1,610.17, 2,415.30 and 514.60

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Solution

The fourth proportional to 1,610.17, 2,415.30 and 514.60 is: 771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.17 : 2,415.30 = 514.60 : x
  2. Step 2: Convert to fraction form
    1,610.17/2,415.30 = 514.60/x
  3. Step 3: Cross multiply
    1,610.17x = 2,415.30 × 514.60
  4. Step 4: Simplify right side
    1,610.17x = 1,242,913.38
  5. Step 5: Solve for x
    x = 1,242,913.38/1,610.17
  6. Step 6: Final answer
    x = 771.91

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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.