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Finding the Fourth Proportional to 1,456.67, 2,188.58 and 936.87

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Solution

The fourth proportional to 1,456.67, 2,188.58 and 936.87 is: 1,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.67 : 2,188.58 = 936.87 : x
  2. Step 2: Convert to fraction form
    1,456.67/2,188.58 = 936.87/x
  3. Step 3: Cross multiply
    1,456.67x = 2,188.58 × 936.87
  4. Step 4: Simplify right side
    1,456.67x = 2,050,410.26
  5. Step 5: Solve for x
    x = 2,050,410.26/1,456.67
  6. Step 6: Final answer
    x = 1,407.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.