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Finding the Fourth Proportional to 1,558.77, 2,150.56 and 886.50

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Solution

The fourth proportional to 1,558.77, 2,150.56 and 886.50 is: 1,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.77 : 2,150.56 = 886.50 : x
  2. Step 2: Convert to fraction form
    1,558.77/2,150.56 = 886.50/x
  3. Step 3: Cross multiply
    1,558.77x = 2,150.56 × 886.50
  4. Step 4: Simplify right side
    1,558.77x = 1,906,471.44
  5. Step 5: Solve for x
    x = 1,906,471.44/1,558.77
  6. Step 6: Final answer
    x = 1,223.07

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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.