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Finding the Fourth Proportional to 2,582.92, 3,873.16 and 938.31

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Solution

The fourth proportional to 2,582.92, 3,873.16 and 938.31 is: 1,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.92 : 3,873.16 = 938.31 : x
  2. Step 2: Convert to fraction form
    2,582.92/3,873.16 = 938.31/x
  3. Step 3: Cross multiply
    2,582.92x = 3,873.16 × 938.31
  4. Step 4: Simplify right side
    2,582.92x = 3,634,224.76
  5. Step 5: Solve for x
    x = 3,634,224.76/2,582.92
  6. Step 6: Final answer
    x = 1,407.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.