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Finding the Fourth Proportional to 1,630.54, 2,446.37 and 535.10

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Solution

The fourth proportional to 1,630.54, 2,446.37 and 535.10 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.54 : 2,446.37 = 535.10 : x
  2. Step 2: Convert to fraction form
    1,630.54/2,446.37 = 535.10/x
  3. Step 3: Cross multiply
    1,630.54x = 2,446.37 × 535.10
  4. Step 4: Simplify right side
    1,630.54x = 1,309,052.59
  5. Step 5: Solve for x
    x = 1,309,052.59/1,630.54
  6. Step 6: Final answer
    x = 802.83

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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.