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Finding the Fourth Proportional to 3,029.32, 4,543.26 and 837.80

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Solution

The fourth proportional to 3,029.32, 4,543.26 and 837.80 is: 1,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.32 : 4,543.26 = 837.80 : x
  2. Step 2: Convert to fraction form
    3,029.32/4,543.26 = 837.80/x
  3. Step 3: Cross multiply
    3,029.32x = 4,543.26 × 837.80
  4. Step 4: Simplify right side
    3,029.32x = 3,806,343.23
  5. Step 5: Solve for x
    x = 3,806,343.23/3,029.32
  6. Step 6: Final answer
    x = 1,256.50

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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.