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Finding the Fourth Proportional to 3,406.62, 4,701.54 and 1,914.60

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Solution

The fourth proportional to 3,406.62, 4,701.54 and 1,914.60 is: 2,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.62 : 4,701.54 = 1,914.60 : x
  2. Step 2: Convert to fraction form
    3,406.62/4,701.54 = 1,914.60/x
  3. Step 3: Cross multiply
    3,406.62x = 4,701.54 × 1,914.60
  4. Step 4: Simplify right side
    3,406.62x = 9,001,568.48
  5. Step 5: Solve for x
    x = 9,001,568.48/3,406.62
  6. Step 6: Final answer
    x = 2,642.38

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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.