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Finding the Fourth Proportional to 2,991.75, 4,465.72 and 2,774.90

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Solution

The fourth proportional to 2,991.75, 4,465.72 and 2,774.90 is: 4,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.75 : 4,465.72 = 2,774.90 : x
  2. Step 2: Convert to fraction form
    2,991.75/4,465.72 = 2,774.90/x
  3. Step 3: Cross multiply
    2,991.75x = 4,465.72 × 2,774.90
  4. Step 4: Simplify right side
    2,991.75x = 12,391,941.06
  5. Step 5: Solve for x
    x = 12,391,941.06/2,991.75
  6. Step 6: Final answer
    x = 4,142.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.