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Finding the Fourth Proportional to 2,700.42, 4,049.40 and 1,055.70

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Solution

The fourth proportional to 2,700.42, 4,049.40 and 1,055.70 is: 1,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.42 : 4,049.40 = 1,055.70 : x
  2. Step 2: Convert to fraction form
    2,700.42/4,049.40 = 1,055.70/x
  3. Step 3: Cross multiply
    2,700.42x = 4,049.40 × 1,055.70
  4. Step 4: Simplify right side
    2,700.42x = 4,274,951.58
  5. Step 5: Solve for x
    x = 4,274,951.58/2,700.42
  6. Step 6: Final answer
    x = 1,583.07

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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.