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Finding the Fourth Proportional to 1,690.48, 2,532.48 and 822.16

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Solution

The fourth proportional to 1,690.48, 2,532.48 and 822.16 is: 1,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.48 : 2,532.48 = 822.16 : x
  2. Step 2: Convert to fraction form
    1,690.48/2,532.48 = 822.16/x
  3. Step 3: Cross multiply
    1,690.48x = 2,532.48 × 822.16
  4. Step 4: Simplify right side
    1,690.48x = 2,082,103.76
  5. Step 5: Solve for x
    x = 2,082,103.76/1,690.48
  6. Step 6: Final answer
    x = 1,231.66

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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.