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Finding the Fourth Proportional to 2,953.01, 4,074.98 and 1,774.73

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Solution

The fourth proportional to 2,953.01, 4,074.98 and 1,774.73 is: 2,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.01 : 4,074.98 = 1,774.73 : x
  2. Step 2: Convert to fraction form
    2,953.01/4,074.98 = 1,774.73/x
  3. Step 3: Cross multiply
    2,953.01x = 4,074.98 × 1,774.73
  4. Step 4: Simplify right side
    2,953.01x = 7,231,990.57
  5. Step 5: Solve for x
    x = 7,231,990.57/2,953.01
  6. Step 6: Final answer
    x = 2,449.02

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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.