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Finding the Fourth Proportional to 2,750.16, 4,124.81 and 994.89

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Solution

The fourth proportional to 2,750.16, 4,124.81 and 994.89 is: 1,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.16 : 4,124.81 = 994.89 : x
  2. Step 2: Convert to fraction form
    2,750.16/4,124.81 = 994.89/x
  3. Step 3: Cross multiply
    2,750.16x = 4,124.81 × 994.89
  4. Step 4: Simplify right side
    2,750.16x = 4,103,727.25
  5. Step 5: Solve for x
    x = 4,103,727.25/2,750.16
  6. Step 6: Final answer
    x = 1,492.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.