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Finding the Fourth Proportional to 3,146.61, 4,341.83 and 1,820.44

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Solution

The fourth proportional to 3,146.61, 4,341.83 and 1,820.44 is: 2,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.61 : 4,341.83 = 1,820.44 : x
  2. Step 2: Convert to fraction form
    3,146.61/4,341.83 = 1,820.44/x
  3. Step 3: Cross multiply
    3,146.61x = 4,341.83 × 1,820.44
  4. Step 4: Simplify right side
    3,146.61x = 7,904,034.70
  5. Step 5: Solve for x
    x = 7,904,034.70/3,146.61
  6. Step 6: Final answer
    x = 2,511.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.