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Finding the Fourth Proportional to 2,727.76, 4,088.03 and 994.72

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Solution

The fourth proportional to 2,727.76, 4,088.03 and 994.72 is: 1,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.76 : 4,088.03 = 994.72 : x
  2. Step 2: Convert to fraction form
    2,727.76/4,088.03 = 994.72/x
  3. Step 3: Cross multiply
    2,727.76x = 4,088.03 × 994.72
  4. Step 4: Simplify right side
    2,727.76x = 4,066,445.20
  5. Step 5: Solve for x
    x = 4,066,445.20/2,727.76
  6. Step 6: Final answer
    x = 1,490.76

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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.