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Finding the Fourth Proportional to 2,053.50, 2,832.92 and 1,558.50

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Solution

The fourth proportional to 2,053.50, 2,832.92 and 1,558.50 is: 2,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.50 : 2,832.92 = 1,558.50 : x
  2. Step 2: Convert to fraction form
    2,053.50/2,832.92 = 1,558.50/x
  3. Step 3: Cross multiply
    2,053.50x = 2,832.92 × 1,558.50
  4. Step 4: Simplify right side
    2,053.50x = 4,415,105.82
  5. Step 5: Solve for x
    x = 4,415,105.82/2,053.50
  6. Step 6: Final answer
    x = 2,150.04

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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.