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Finding the Fourth Proportional to 2,072.80, 2,862.30 and 1,409.44

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Solution

The fourth proportional to 2,072.80, 2,862.30 and 1,409.44 is: 1,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.80 : 2,862.30 = 1,409.44 : x
  2. Step 2: Convert to fraction form
    2,072.80/2,862.30 = 1,409.44/x
  3. Step 3: Cross multiply
    2,072.80x = 2,862.30 × 1,409.44
  4. Step 4: Simplify right side
    2,072.80x = 4,034,240.11
  5. Step 5: Solve for x
    x = 4,034,240.11/2,072.80
  6. Step 6: Final answer
    x = 1,946.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.