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Finding the Fourth Proportional to 1,610.16, 2,415.14 and 622.57

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Solution

The fourth proportional to 1,610.16, 2,415.14 and 622.57 is: 933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.16 : 2,415.14 = 622.57 : x
  2. Step 2: Convert to fraction form
    1,610.16/2,415.14 = 622.57/x
  3. Step 3: Cross multiply
    1,610.16x = 2,415.14 × 622.57
  4. Step 4: Simplify right side
    1,610.16x = 1,503,593.17
  5. Step 5: Solve for x
    x = 1,503,593.17/1,610.16
  6. Step 6: Final answer
    x = 933.81

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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.