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Finding the Fourth Proportional to 1,620.24, 2,428.52 and 695.32

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Solution

The fourth proportional to 1,620.24, 2,428.52 and 695.32 is: 1,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.24 : 2,428.52 = 695.32 : x
  2. Step 2: Convert to fraction form
    1,620.24/2,428.52 = 695.32/x
  3. Step 3: Cross multiply
    1,620.24x = 2,428.52 × 695.32
  4. Step 4: Simplify right side
    1,620.24x = 1,688,601.12
  5. Step 5: Solve for x
    x = 1,688,601.12/1,620.24
  6. Step 6: Final answer
    x = 1,042.19

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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.