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Finding the Fourth Proportional to 3,029.21, 4,543.80 and 837.77

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Solution

The fourth proportional to 3,029.21, 4,543.80 and 837.77 is: 1,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.21 : 4,543.80 = 837.77 : x
  2. Step 2: Convert to fraction form
    3,029.21/4,543.80 = 837.77/x
  3. Step 3: Cross multiply
    3,029.21x = 4,543.80 × 837.77
  4. Step 4: Simplify right side
    3,029.21x = 3,806,636.61
  5. Step 5: Solve for x
    x = 3,806,636.61/3,029.21
  6. Step 6: Final answer
    x = 1,256.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.