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Finding the Fourth Proportional to 2,816.92, 3,887.32 and 1,558.00

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Solution

The fourth proportional to 2,816.92, 3,887.32 and 1,558.00 is: 2,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.92 : 3,887.32 = 1,558.00 : x
  2. Step 2: Convert to fraction form
    2,816.92/3,887.32 = 1,558.00/x
  3. Step 3: Cross multiply
    2,816.92x = 3,887.32 × 1,558.00
  4. Step 4: Simplify right side
    2,816.92x = 6,056,448.45
  5. Step 5: Solve for x
    x = 6,056,448.45/2,816.92
  6. Step 6: Final answer
    x = 2,150.02

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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.