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Finding the Fourth Proportional to 1,720.14, 2,580.21 and 624.26

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Solution

The fourth proportional to 1,720.14, 2,580.21 and 624.26 is: 936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.14 : 2,580.21 = 624.26 : x
  2. Step 2: Convert to fraction form
    1,720.14/2,580.21 = 624.26/x
  3. Step 3: Cross multiply
    1,720.14x = 2,580.21 × 624.26
  4. Step 4: Simplify right side
    1,720.14x = 1,610,708.99
  5. Step 5: Solve for x
    x = 1,610,708.99/1,720.14
  6. Step 6: Final answer
    x = 936.38

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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.