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Finding the Fourth Proportional to 1,558.38, 2,345.81 and 1,213.50

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Solution

The fourth proportional to 1,558.38, 2,345.81 and 1,213.50 is: 1,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.38 : 2,345.81 = 1,213.50 : x
  2. Step 2: Convert to fraction form
    1,558.38/2,345.81 = 1,213.50/x
  3. Step 3: Cross multiply
    1,558.38x = 2,345.81 × 1,213.50
  4. Step 4: Simplify right side
    1,558.38x = 2,846,634.37
  5. Step 5: Solve for x
    x = 2,846,634.37/1,558.38
  6. Step 6: Final answer
    x = 1,826.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.