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Finding the Fourth Proportional to 1,639.88, 2,463.10 and 1,024.68

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Solution

The fourth proportional to 1,639.88, 2,463.10 and 1,024.68 is: 1,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.88 : 2,463.10 = 1,024.68 : x
  2. Step 2: Convert to fraction form
    1,639.88/2,463.10 = 1,024.68/x
  3. Step 3: Cross multiply
    1,639.88x = 2,463.10 × 1,024.68
  4. Step 4: Simplify right side
    1,639.88x = 2,523,889.31
  5. Step 5: Solve for x
    x = 2,523,889.31/1,639.88
  6. Step 6: Final answer
    x = 1,539.07

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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.