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Finding the Fourth Proportional to 1,690.46, 2,332.16 and 982.18

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Solution

The fourth proportional to 1,690.46, 2,332.16 and 982.18 is: 1,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.46 : 2,332.16 = 982.18 : x
  2. Step 2: Convert to fraction form
    1,690.46/2,332.16 = 982.18/x
  3. Step 3: Cross multiply
    1,690.46x = 2,332.16 × 982.18
  4. Step 4: Simplify right side
    1,690.46x = 2,290,589.25
  5. Step 5: Solve for x
    x = 2,290,589.25/1,690.46
  6. Step 6: Final answer
    x = 1,355.01

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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.