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Finding the Fourth Proportional to 2,841.68, 3,921.08 and 1,582.76

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Solution

The fourth proportional to 2,841.68, 3,921.08 and 1,582.76 is: 2,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.68 : 3,921.08 = 1,582.76 : x
  2. Step 2: Convert to fraction form
    2,841.68/3,921.08 = 1,582.76/x
  3. Step 3: Cross multiply
    2,841.68x = 3,921.08 × 1,582.76
  4. Step 4: Simplify right side
    2,841.68x = 6,206,130.47
  5. Step 5: Solve for x
    x = 6,206,130.47/2,841.68
  6. Step 6: Final answer
    x = 2,183.96

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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.