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Finding the Fourth Proportional to 1,620.62, 2,430.94 and 926.81

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Solution

The fourth proportional to 1,620.62, 2,430.94 and 926.81 is: 1,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.62 : 2,430.94 = 926.81 : x
  2. Step 2: Convert to fraction form
    1,620.62/2,430.94 = 926.81/x
  3. Step 3: Cross multiply
    1,620.62x = 2,430.94 × 926.81
  4. Step 4: Simplify right side
    1,620.62x = 2,253,005.59
  5. Step 5: Solve for x
    x = 2,253,005.59/1,620.62
  6. Step 6: Final answer
    x = 1,390.21

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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.