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Finding the Fourth Proportional to 1,622.15, 2,432.98 and 452.03

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Solution

The fourth proportional to 1,622.15, 2,432.98 and 452.03 is: 677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.15 : 2,432.98 = 452.03 : x
  2. Step 2: Convert to fraction form
    1,622.15/2,432.98 = 452.03/x
  3. Step 3: Cross multiply
    1,622.15x = 2,432.98 × 452.03
  4. Step 4: Simplify right side
    1,622.15x = 1,099,779.49
  5. Step 5: Solve for x
    x = 1,099,779.49/1,622.15
  6. Step 6: Final answer
    x = 677.98

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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.