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Finding the Fourth Proportional to 3,029.30, 4,543.98 and 838.14

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Solution

The fourth proportional to 3,029.30, 4,543.98 and 838.14 is: 1,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.30 : 4,543.98 = 838.14 : x
  2. Step 2: Convert to fraction form
    3,029.30/4,543.98 = 838.14/x
  3. Step 3: Cross multiply
    3,029.30x = 4,543.98 × 838.14
  4. Step 4: Simplify right side
    3,029.30x = 3,808,491.40
  5. Step 5: Solve for x
    x = 3,808,491.40/3,029.30
  6. Step 6: Final answer
    x = 1,257.22

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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.