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Finding the Fourth Proportional to 3,029.10, 4,544.19 and 837.78

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Solution

The fourth proportional to 3,029.10, 4,544.19 and 837.78 is: 1,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.10 : 4,544.19 = 837.78 : x
  2. Step 2: Convert to fraction form
    3,029.10/4,544.19 = 837.78/x
  3. Step 3: Cross multiply
    3,029.10x = 4,544.19 × 837.78
  4. Step 4: Simplify right side
    3,029.10x = 3,807,031.50
  5. Step 5: Solve for x
    x = 3,807,031.50/3,029.10
  6. Step 6: Final answer
    x = 1,256.82

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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.