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Finding the Fourth Proportional to 2,074.58, 3,111.83 and 514.58

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Solution

The fourth proportional to 2,074.58, 3,111.83 and 514.58 is: 771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.58 : 3,111.83 = 514.58 : x
  2. Step 2: Convert to fraction form
    2,074.58/3,111.83 = 514.58/x
  3. Step 3: Cross multiply
    2,074.58x = 3,111.83 × 514.58
  4. Step 4: Simplify right side
    2,074.58x = 1,601,294.55
  5. Step 5: Solve for x
    x = 1,601,294.55/2,074.58
  6. Step 6: Final answer
    x = 771.87

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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.