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Finding the Fourth Proportional to 4,682.88, 7,024.32 and 1,605.12

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Solution

The fourth proportional to 4,682.88, 7,024.32 and 1,605.12 is: 2,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.88 : 7,024.32 = 1,605.12 : x
  2. Step 2: Convert to fraction form
    4,682.88/7,024.32 = 1,605.12/x
  3. Step 3: Cross multiply
    4,682.88x = 7,024.32 × 1,605.12
  4. Step 4: Simplify right side
    4,682.88x = 11,274,876.52
  5. Step 5: Solve for x
    x = 11,274,876.52/4,682.88
  6. Step 6: Final answer
    x = 2,407.68

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1.5x scale

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.