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Finding the Fourth Proportional to 2,807.76, 4,211.52 and 1,076.28

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Solution

The fourth proportional to 2,807.76, 4,211.52 and 1,076.28 is: 1,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.76 : 4,211.52 = 1,076.28 : x
  2. Step 2: Convert to fraction form
    2,807.76/4,211.52 = 1,076.28/x
  3. Step 3: Cross multiply
    2,807.76x = 4,211.52 × 1,076.28
  4. Step 4: Simplify right side
    2,807.76x = 4,532,774.75
  5. Step 5: Solve for x
    x = 4,532,774.75/2,807.76
  6. Step 6: Final answer
    x = 1,614.37

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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.