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Finding the Fourth Proportional to 3,024.43, 4,532.43 and 1,638.52

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Solution

The fourth proportional to 3,024.43, 4,532.43 and 1,638.52 is: 2,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.43 : 4,532.43 = 1,638.52 : x
  2. Step 2: Convert to fraction form
    3,024.43/4,532.43 = 1,638.52/x
  3. Step 3: Cross multiply
    3,024.43x = 4,532.43 × 1,638.52
  4. Step 4: Simplify right side
    3,024.43x = 7,426,477.20
  5. Step 5: Solve for x
    x = 7,426,477.20/3,024.43
  6. Step 6: Final answer
    x = 2,455.50

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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.