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Finding the Fourth Proportional to 1,763.92, 2,643.72 and 608.32

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Solution

The fourth proportional to 1,763.92, 2,643.72 and 608.32 is: 911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.92 : 2,643.72 = 608.32 : x
  2. Step 2: Convert to fraction form
    1,763.92/2,643.72 = 608.32/x
  3. Step 3: Cross multiply
    1,763.92x = 2,643.72 × 608.32
  4. Step 4: Simplify right side
    1,763.92x = 1,608,227.75
  5. Step 5: Solve for x
    x = 1,608,227.75/1,763.92
  6. Step 6: Final answer
    x = 911.74

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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.