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Finding the Fourth Proportional to 2,846.43, 4,267.78 and 1,284.77

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Solution

The fourth proportional to 2,846.43, 4,267.78 and 1,284.77 is: 1,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.43 : 4,267.78 = 1,284.77 : x
  2. Step 2: Convert to fraction form
    2,846.43/4,267.78 = 1,284.77/x
  3. Step 3: Cross multiply
    2,846.43x = 4,267.78 × 1,284.77
  4. Step 4: Simplify right side
    2,846.43x = 5,483,123.17
  5. Step 5: Solve for x
    x = 5,483,123.17/2,846.43
  6. Step 6: Final answer
    x = 1,926.32

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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.