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Finding the Fourth Proportional to 1,886.27, 2,827.79 and 715.61

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Solution

The fourth proportional to 1,886.27, 2,827.79 and 715.61 is: 1,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.27 : 2,827.79 = 715.61 : x
  2. Step 2: Convert to fraction form
    1,886.27/2,827.79 = 715.61/x
  3. Step 3: Cross multiply
    1,886.27x = 2,827.79 × 715.61
  4. Step 4: Simplify right side
    1,886.27x = 2,023,600.98
  5. Step 5: Solve for x
    x = 2,023,600.98/1,886.27
  6. Step 6: Final answer
    x = 1,072.81

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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.