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Finding the Fourth Proportional to 1,769.16, 2,441.46 and 983.25

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Solution

The fourth proportional to 1,769.16, 2,441.46 and 983.25 is: 1,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.16 : 2,441.46 = 983.25 : x
  2. Step 2: Convert to fraction form
    1,769.16/2,441.46 = 983.25/x
  3. Step 3: Cross multiply
    1,769.16x = 2,441.46 × 983.25
  4. Step 4: Simplify right side
    1,769.16x = 2,400,565.55
  5. Step 5: Solve for x
    x = 2,400,565.55/1,769.16
  6. Step 6: Final answer
    x = 1,356.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.