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Finding the Fourth Proportional to 3,029.12, 4,543.68 and 837.86

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Solution

The fourth proportional to 3,029.12, 4,543.68 and 837.86 is: 1,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.12 : 4,543.68 = 837.86 : x
  2. Step 2: Convert to fraction form
    3,029.12/4,543.68 = 837.86/x
  3. Step 3: Cross multiply
    3,029.12x = 4,543.68 × 837.86
  4. Step 4: Simplify right side
    3,029.12x = 3,806,967.72
  5. Step 5: Solve for x
    x = 3,806,967.72/3,029.12
  6. Step 6: Final answer
    x = 1,256.79

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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.