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Finding the Fourth Proportional to 1,461.08, 2,014.26 and 994.52

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Solution

The fourth proportional to 1,461.08, 2,014.26 and 994.52 is: 1,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,014.26 = 994.52 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,014.26 = 994.52/x
  3. Step 3: Cross multiply
    1,461.08x = 2,014.26 × 994.52
  4. Step 4: Simplify right side
    1,461.08x = 2,003,221.86
  5. Step 5: Solve for x
    x = 2,003,221.86/1,461.08
  6. Step 6: Final answer
    x = 1,371.06

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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.