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Finding the Fourth Proportional to 2,114.61, 2,917.62 and 1,230.22

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Solution

The fourth proportional to 2,114.61, 2,917.62 and 1,230.22 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.61 : 2,917.62 = 1,230.22 : x
  2. Step 2: Convert to fraction form
    2,114.61/2,917.62 = 1,230.22/x
  3. Step 3: Cross multiply
    2,114.61x = 2,917.62 × 1,230.22
  4. Step 4: Simplify right side
    2,114.61x = 3,589,318.12
  5. Step 5: Solve for x
    x = 3,589,318.12/2,114.61
  6. Step 6: Final answer
    x = 1,697.39

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Why These Related Problems?

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