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Finding the Fourth Proportional to 3,024.66, 4,536.90 and 833.52

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Solution

The fourth proportional to 3,024.66, 4,536.90 and 833.52 is: 1,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.66 : 4,536.90 = 833.52 : x
  2. Step 2: Convert to fraction form
    3,024.66/4,536.90 = 833.52/x
  3. Step 3: Cross multiply
    3,024.66x = 4,536.90 × 833.52
  4. Step 4: Simplify right side
    3,024.66x = 3,781,596.89
  5. Step 5: Solve for x
    x = 3,781,596.89/3,024.66
  6. Step 6: Final answer
    x = 1,250.26

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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.