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Finding the Fourth Proportional to 1,833.56, 2,529.96 and 1,047.44

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Solution

The fourth proportional to 1,833.56, 2,529.96 and 1,047.44 is: 1,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.56 : 2,529.96 = 1,047.44 : x
  2. Step 2: Convert to fraction form
    1,833.56/2,529.96 = 1,047.44/x
  3. Step 3: Cross multiply
    1,833.56x = 2,529.96 × 1,047.44
  4. Step 4: Simplify right side
    1,833.56x = 2,649,981.30
  5. Step 5: Solve for x
    x = 2,649,981.30/1,833.56
  6. Step 6: Final answer
    x = 1,445.27

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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.