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Finding the Fourth Proportional to 2,700.87, 4,050.78 and 945.55

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Solution

The fourth proportional to 2,700.87, 4,050.78 and 945.55 is: 1,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.87 : 4,050.78 = 945.55 : x
  2. Step 2: Convert to fraction form
    2,700.87/4,050.78 = 945.55/x
  3. Step 3: Cross multiply
    2,700.87x = 4,050.78 × 945.55
  4. Step 4: Simplify right side
    2,700.87x = 3,830,215.03
  5. Step 5: Solve for x
    x = 3,830,215.03/2,700.87
  6. Step 6: Final answer
    x = 1,418.14

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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.