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Finding the Fourth Proportional to 2,278.87, 3,403.03 and 1,811.50

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Solution

The fourth proportional to 2,278.87, 3,403.03 and 1,811.50 is: 2,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.87 : 3,403.03 = 1,811.50 : x
  2. Step 2: Convert to fraction form
    2,278.87/3,403.03 = 1,811.50/x
  3. Step 3: Cross multiply
    2,278.87x = 3,403.03 × 1,811.50
  4. Step 4: Simplify right side
    2,278.87x = 6,164,588.85
  5. Step 5: Solve for x
    x = 6,164,588.85/2,278.87
  6. Step 6: Final answer
    x = 2,705.11

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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.