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Finding the Fourth Proportional to 2,780.56, 3,837.02 and 1,521.39

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Solution

The fourth proportional to 2,780.56, 3,837.02 and 1,521.39 is: 2,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.56 : 3,837.02 = 1,521.39 : x
  2. Step 2: Convert to fraction form
    2,780.56/3,837.02 = 1,521.39/x
  3. Step 3: Cross multiply
    2,780.56x = 3,837.02 × 1,521.39
  4. Step 4: Simplify right side
    2,780.56x = 5,837,603.86
  5. Step 5: Solve for x
    x = 5,837,603.86/2,780.56
  6. Step 6: Final answer
    x = 2,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.