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Finding the Fourth Proportional to 1,582.49, 2,183.86 and 874.37

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Solution

The fourth proportional to 1,582.49, 2,183.86 and 874.37 is: 1,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.49 : 2,183.86 = 874.37 : x
  2. Step 2: Convert to fraction form
    1,582.49/2,183.86 = 874.37/x
  3. Step 3: Cross multiply
    1,582.49x = 2,183.86 × 874.37
  4. Step 4: Simplify right side
    1,582.49x = 1,909,502.08
  5. Step 5: Solve for x
    x = 1,909,502.08/1,582.49
  6. Step 6: Final answer
    x = 1,206.65

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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.