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Finding the Fourth Proportional to 1,740.20, 2,610.29 and 644.27

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Solution

The fourth proportional to 1,740.20, 2,610.29 and 644.27 is: 966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.20 : 2,610.29 = 644.27 : x
  2. Step 2: Convert to fraction form
    1,740.20/2,610.29 = 644.27/x
  3. Step 3: Cross multiply
    1,740.20x = 2,610.29 × 644.27
  4. Step 4: Simplify right side
    1,740.20x = 1,681,720.10
  5. Step 5: Solve for x
    x = 1,681,720.10/1,740.20
  6. Step 6: Final answer
    x = 966.40

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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.