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Finding the Fourth Proportional to 1,582.89, 2,183.19 and 1,211.10

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Solution

The fourth proportional to 1,582.89, 2,183.19 and 1,211.10 is: 1,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.89 : 2,183.19 = 1,211.10 : x
  2. Step 2: Convert to fraction form
    1,582.89/2,183.19 = 1,211.10/x
  3. Step 3: Cross multiply
    1,582.89x = 2,183.19 × 1,211.10
  4. Step 4: Simplify right side
    1,582.89x = 2,644,056.87
  5. Step 5: Solve for x
    x = 2,644,056.87/1,582.89
  6. Step 6: Final answer
    x = 1,670.40

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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.