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Finding the Fourth Proportional to 2,727.93, 3,764.16 and 1,548.77

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Solution

The fourth proportional to 2,727.93, 3,764.16 and 1,548.77 is: 2,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.93 : 3,764.16 = 1,548.77 : x
  2. Step 2: Convert to fraction form
    2,727.93/3,764.16 = 1,548.77/x
  3. Step 3: Cross multiply
    2,727.93x = 3,764.16 × 1,548.77
  4. Step 4: Simplify right side
    2,727.93x = 5,829,818.08
  5. Step 5: Solve for x
    x = 5,829,818.08/2,727.93
  6. Step 6: Final answer
    x = 2,137.08

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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.