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Finding the Fourth Proportional to 2,851.78, 4,277.94 and 1,120

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Solution

The fourth proportional to 2,851.78, 4,277.94 and 1,120 is: 1,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.78 : 4,277.94 = 1,120 : x
  2. Step 2: Convert to fraction form
    2,851.78/4,277.94 = 1,120/x
  3. Step 3: Cross multiply
    2,851.78x = 4,277.94 × 1,120
  4. Step 4: Simplify right side
    2,851.78x = 4,791,292.80
  5. Step 5: Solve for x
    x = 4,791,292.80/2,851.78
  6. Step 6: Final answer
    x = 1,680.11

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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.