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Finding the Fourth Proportional to 2,178.43, 3,267.57 and 534.94

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Solution

The fourth proportional to 2,178.43, 3,267.57 and 534.94 is: 802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.43 : 3,267.57 = 534.94 : x
  2. Step 2: Convert to fraction form
    2,178.43/3,267.57 = 534.94/x
  3. Step 3: Cross multiply
    2,178.43x = 3,267.57 × 534.94
  4. Step 4: Simplify right side
    2,178.43x = 1,747,953.90
  5. Step 5: Solve for x
    x = 1,747,953.90/2,178.43
  6. Step 6: Final answer
    x = 802.39

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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.