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Finding the Fourth Proportional to 2,582.05, 3,890.31 and 2,335.54

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Solution

The fourth proportional to 2,582.05, 3,890.31 and 2,335.54 is: 3,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.05 : 3,890.31 = 2,335.54 : x
  2. Step 2: Convert to fraction form
    2,582.05/3,890.31 = 2,335.54/x
  3. Step 3: Cross multiply
    2,582.05x = 3,890.31 × 2,335.54
  4. Step 4: Simplify right side
    2,582.05x = 9,085,970.72
  5. Step 5: Solve for x
    x = 9,085,970.72/2,582.05
  6. Step 6: Final answer
    x = 3,518.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.