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Finding the Fourth Proportional to 2,815.16, 3,883.95 and 1,820.68

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Solution

The fourth proportional to 2,815.16, 3,883.95 and 1,820.68 is: 2,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.16 : 3,883.95 = 1,820.68 : x
  2. Step 2: Convert to fraction form
    2,815.16/3,883.95 = 1,820.68/x
  3. Step 3: Cross multiply
    2,815.16x = 3,883.95 × 1,820.68
  4. Step 4: Simplify right side
    2,815.16x = 7,071,420.38
  5. Step 5: Solve for x
    x = 7,071,420.38/2,815.16
  6. Step 6: Final answer
    x = 2,511.91

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Why These Related Problems?

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