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Finding the Fourth Proportional to 1,775.10, 2,662.96 and 994.77

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Solution

The fourth proportional to 1,775.10, 2,662.96 and 994.77 is: 1,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.10 : 2,662.96 = 994.77 : x
  2. Step 2: Convert to fraction form
    1,775.10/2,662.96 = 994.77/x
  3. Step 3: Cross multiply
    1,775.10x = 2,662.96 × 994.77
  4. Step 4: Simplify right side
    1,775.10x = 2,649,032.72
  5. Step 5: Solve for x
    x = 2,649,032.72/1,775.10
  6. Step 6: Final answer
    x = 1,492.33

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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.