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Finding the Fourth Proportional to 2,776.94, 3,832.18 and 1,518.02

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Solution

The fourth proportional to 2,776.94, 3,832.18 and 1,518.02 is: 2,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.94 : 3,832.18 = 1,518.02 : x
  2. Step 2: Convert to fraction form
    2,776.94/3,832.18 = 1,518.02/x
  3. Step 3: Cross multiply
    2,776.94x = 3,832.18 × 1,518.02
  4. Step 4: Simplify right side
    2,776.94x = 5,817,302.93
  5. Step 5: Solve for x
    x = 5,817,302.93/2,776.94
  6. Step 6: Final answer
    x = 2,094.86

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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.