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Finding the Fourth Proportional to 2,114.55, 2,918.03 and 1,230.84

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Solution

The fourth proportional to 2,114.55, 2,918.03 and 1,230.84 is: 1,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.55 : 2,918.03 = 1,230.84 : x
  2. Step 2: Convert to fraction form
    2,114.55/2,918.03 = 1,230.84/x
  3. Step 3: Cross multiply
    2,114.55x = 2,918.03 × 1,230.84
  4. Step 4: Simplify right side
    2,114.55x = 3,591,621.89
  5. Step 5: Solve for x
    x = 3,591,621.89/2,114.55
  6. Step 6: Final answer
    x = 1,698.53

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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.