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Finding the Fourth Proportional to 2,114.47, 2,918.55 and 1,230.44

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Solution

The fourth proportional to 2,114.47, 2,918.55 and 1,230.44 is: 1,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.47 : 2,918.55 = 1,230.44 : x
  2. Step 2: Convert to fraction form
    2,114.47/2,918.55 = 1,230.44/x
  3. Step 3: Cross multiply
    2,114.47x = 2,918.55 × 1,230.44
  4. Step 4: Simplify right side
    2,114.47x = 3,591,107.96
  5. Step 5: Solve for x
    x = 3,591,107.96/2,114.47
  6. Step 6: Final answer
    x = 1,698.35

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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.