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Finding the Fourth Proportional to 2,543.18, 3,813.57 and 983.91

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Solution

The fourth proportional to 2,543.18, 3,813.57 and 983.91 is: 1,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.18 : 3,813.57 = 983.91 : x
  2. Step 2: Convert to fraction form
    2,543.18/3,813.57 = 983.91/x
  3. Step 3: Cross multiply
    2,543.18x = 3,813.57 × 983.91
  4. Step 4: Simplify right side
    2,543.18x = 3,752,222.58
  5. Step 5: Solve for x
    x = 3,752,222.58/2,543.18
  6. Step 6: Final answer
    x = 1,475.41

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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.