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Finding the Fourth Proportional to 2,862.80, 4,301.40 and 1,823.30

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Solution

The fourth proportional to 2,862.80, 4,301.40 and 1,823.30 is: 2,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.80 : 4,301.40 = 1,823.30 : x
  2. Step 2: Convert to fraction form
    2,862.80/4,301.40 = 1,823.30/x
  3. Step 3: Cross multiply
    2,862.80x = 4,301.40 × 1,823.30
  4. Step 4: Simplify right side
    2,862.80x = 7,842,742.62
  5. Step 5: Solve for x
    x = 7,842,742.62/2,862.80
  6. Step 6: Final answer
    x = 2,739.54

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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.