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Finding the Fourth Proportional to 1,886.40, 2,827.17 and 1,269.18

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Solution

The fourth proportional to 1,886.40, 2,827.17 and 1,269.18 is: 1,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.40 : 2,827.17 = 1,269.18 : x
  2. Step 2: Convert to fraction form
    1,886.40/2,827.17 = 1,269.18/x
  3. Step 3: Cross multiply
    1,886.40x = 2,827.17 × 1,269.18
  4. Step 4: Simplify right side
    1,886.40x = 3,588,187.62
  5. Step 5: Solve for x
    x = 3,588,187.62/1,886.40
  6. Step 6: Final answer
    x = 1,902.14

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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.