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Finding the Fourth Proportional to 2,572.34, 3,859.19 and 1,339.38

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Solution

The fourth proportional to 2,572.34, 3,859.19 and 1,339.38 is: 2,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.34 : 3,859.19 = 1,339.38 : x
  2. Step 2: Convert to fraction form
    2,572.34/3,859.19 = 1,339.38/x
  3. Step 3: Cross multiply
    2,572.34x = 3,859.19 × 1,339.38
  4. Step 4: Simplify right side
    2,572.34x = 5,168,915.21
  5. Step 5: Solve for x
    x = 5,168,915.21/2,572.34
  6. Step 6: Final answer
    x = 2,009.43

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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.