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Finding the Fourth Proportional to 2,730.93, 3,769.13 and 1,612.14

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Solution

The fourth proportional to 2,730.93, 3,769.13 and 1,612.14 is: 2,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.93 : 3,769.13 = 1,612.14 : x
  2. Step 2: Convert to fraction form
    2,730.93/3,769.13 = 1,612.14/x
  3. Step 3: Cross multiply
    2,730.93x = 3,769.13 × 1,612.14
  4. Step 4: Simplify right side
    2,730.93x = 6,076,365.24
  5. Step 5: Solve for x
    x = 6,076,365.24/2,730.93
  6. Step 6: Final answer
    x = 2,225.02

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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.