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Finding the Fourth Proportional to 2,277.40, 3,416.10 and 2,155.90

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Solution

The fourth proportional to 2,277.40, 3,416.10 and 2,155.90 is: 3,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.40 : 3,416.10 = 2,155.90 : x
  2. Step 2: Convert to fraction form
    2,277.40/3,416.10 = 2,155.90/x
  3. Step 3: Cross multiply
    2,277.40x = 3,416.10 × 2,155.90
  4. Step 4: Simplify right side
    2,277.40x = 7,364,769.99
  5. Step 5: Solve for x
    x = 7,364,769.99/2,277.40
  6. Step 6: Final answer
    x = 3,233.85

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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.