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Finding the Fourth Proportional to 3,274.34, 4,518.51 and 1,877

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Solution

The fourth proportional to 3,274.34, 4,518.51 and 1,877 is: 2,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.34 : 4,518.51 = 1,877 : x
  2. Step 2: Convert to fraction form
    3,274.34/4,518.51 = 1,877/x
  3. Step 3: Cross multiply
    3,274.34x = 4,518.51 × 1,877
  4. Step 4: Simplify right side
    3,274.34x = 8,481,243.27
  5. Step 5: Solve for x
    x = 8,481,243.27/3,274.34
  6. Step 6: Final answer
    x = 2,590.21

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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.