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Finding the Fourth Proportional to 1,386.87, 1,914.19 and 882.62

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Solution

The fourth proportional to 1,386.87, 1,914.19 and 882.62 is: 1,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.87 : 1,914.19 = 882.62 : x
  2. Step 2: Convert to fraction form
    1,386.87/1,914.19 = 882.62/x
  3. Step 3: Cross multiply
    1,386.87x = 1,914.19 × 882.62
  4. Step 4: Simplify right side
    1,386.87x = 1,689,488.39
  5. Step 5: Solve for x
    x = 1,689,488.39/1,386.87
  6. Step 6: Final answer
    x = 1,218.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.