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Finding the Fourth Proportional to 2,833.80, 4,254.34 and 1,536.18

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Solution

The fourth proportional to 2,833.80, 4,254.34 and 1,536.18 is: 2,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.80 : 4,254.34 = 1,536.18 : x
  2. Step 2: Convert to fraction form
    2,833.80/4,254.34 = 1,536.18/x
  3. Step 3: Cross multiply
    2,833.80x = 4,254.34 × 1,536.18
  4. Step 4: Simplify right side
    2,833.80x = 6,535,432.02
  5. Step 5: Solve for x
    x = 6,535,432.02/2,833.80
  6. Step 6: Final answer
    x = 2,306.24

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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.