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Finding the Fourth Proportional to 3,406.70, 4,701.28 and 1,914.64

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Solution

The fourth proportional to 3,406.70, 4,701.28 and 1,914.64 is: 2,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.70 : 4,701.28 = 1,914.64 : x
  2. Step 2: Convert to fraction form
    3,406.70/4,701.28 = 1,914.64/x
  3. Step 3: Cross multiply
    3,406.70x = 4,701.28 × 1,914.64
  4. Step 4: Simplify right side
    3,406.70x = 9,001,235.23
  5. Step 5: Solve for x
    x = 9,001,235.23/3,406.70
  6. Step 6: Final answer
    x = 2,642.22

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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.