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Finding the Fourth Proportional to 1,905.88, 2,857.20 and 1,815.16

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Solution

The fourth proportional to 1,905.88, 2,857.20 and 1,815.16 is: 2,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.88 : 2,857.20 = 1,815.16 : x
  2. Step 2: Convert to fraction form
    1,905.88/2,857.20 = 1,815.16/x
  3. Step 3: Cross multiply
    1,905.88x = 2,857.20 × 1,815.16
  4. Step 4: Simplify right side
    1,905.88x = 5,186,275.15
  5. Step 5: Solve for x
    x = 5,186,275.15/1,905.88
  6. Step 6: Final answer
    x = 2,721.20

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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.