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Finding the Fourth Proportional to 1,886.20, 2,827.13 and 715.46

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Solution

The fourth proportional to 1,886.20, 2,827.13 and 715.46 is: 1,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.20 : 2,827.13 = 715.46 : x
  2. Step 2: Convert to fraction form
    1,886.20/2,827.13 = 715.46/x
  3. Step 3: Cross multiply
    1,886.20x = 2,827.13 × 715.46
  4. Step 4: Simplify right side
    1,886.20x = 2,022,680.72
  5. Step 5: Solve for x
    x = 2,022,680.72/1,886.20
  6. Step 6: Final answer
    x = 1,072.36

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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.