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Finding the Fourth Proportional to 2,580.03, 3,870.51 and 938.88

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Solution

The fourth proportional to 2,580.03, 3,870.51 and 938.88 is: 1,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.03 : 3,870.51 = 938.88 : x
  2. Step 2: Convert to fraction form
    2,580.03/3,870.51 = 938.88/x
  3. Step 3: Cross multiply
    2,580.03x = 3,870.51 × 938.88
  4. Step 4: Simplify right side
    2,580.03x = 3,633,944.43
  5. Step 5: Solve for x
    x = 3,633,944.43/2,580.03
  6. Step 6: Final answer
    x = 1,408.49

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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.