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Finding the Fourth Proportional to 3,024.21, 4,536.45 and 832.96

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Solution

The fourth proportional to 3,024.21, 4,536.45 and 832.96 is: 1,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.21 : 4,536.45 = 832.96 : x
  2. Step 2: Convert to fraction form
    3,024.21/4,536.45 = 832.96/x
  3. Step 3: Cross multiply
    3,024.21x = 4,536.45 × 832.96
  4. Step 4: Simplify right side
    3,024.21x = 3,778,681.39
  5. Step 5: Solve for x
    x = 3,778,681.39/3,024.21
  6. Step 6: Final answer
    x = 1,249.48

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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.