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Finding the Fourth Proportional to 2,582.23, 3,875.22 and 938.92

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Solution

The fourth proportional to 2,582.23, 3,875.22 and 938.92 is: 1,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.23 : 3,875.22 = 938.92 : x
  2. Step 2: Convert to fraction form
    2,582.23/3,875.22 = 938.92/x
  3. Step 3: Cross multiply
    2,582.23x = 3,875.22 × 938.92
  4. Step 4: Simplify right side
    2,582.23x = 3,638,521.56
  5. Step 5: Solve for x
    x = 3,638,521.56/2,582.23
  6. Step 6: Final answer
    x = 1,409.06

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