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Finding the Fourth Proportional to 1,620.49, 2,428.89 and 695.57

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Solution

The fourth proportional to 1,620.49, 2,428.89 and 695.57 is: 1,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.49 : 2,428.89 = 695.57 : x
  2. Step 2: Convert to fraction form
    1,620.49/2,428.89 = 695.57/x
  3. Step 3: Cross multiply
    1,620.49x = 2,428.89 × 695.57
  4. Step 4: Simplify right side
    1,620.49x = 1,689,463.02
  5. Step 5: Solve for x
    x = 1,689,463.02/1,620.49
  6. Step 6: Final answer
    x = 1,042.56

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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.