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Finding the Fourth Proportional to 2,892.80, 4,339.20 and 2,783.46

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Solution

The fourth proportional to 2,892.80, 4,339.20 and 2,783.46 is: 4,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.80 : 4,339.20 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    2,892.80/4,339.20 = 2,783.46/x
  3. Step 3: Cross multiply
    2,892.80x = 4,339.20 × 2,783.46
  4. Step 4: Simplify right side
    2,892.80x = 12,077,989.63
  5. Step 5: Solve for x
    x = 12,077,989.63/2,892.80
  6. Step 6: Final answer
    x = 4,175.19

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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.