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Finding the Fourth Proportional to 2,157.11, 2,977.95 and 1,452.66

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Solution

The fourth proportional to 2,157.11, 2,977.95 and 1,452.66 is: 2,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.11 : 2,977.95 = 1,452.66 : x
  2. Step 2: Convert to fraction form
    2,157.11/2,977.95 = 1,452.66/x
  3. Step 3: Cross multiply
    2,157.11x = 2,977.95 × 1,452.66
  4. Step 4: Simplify right side
    2,157.11x = 4,325,948.85
  5. Step 5: Solve for x
    x = 4,325,948.85/2,157.11
  6. Step 6: Final answer
    x = 2,005.44

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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.