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Finding the Fourth Proportional to 3,406.14, 4,699.86 and 1,914.12

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Solution

The fourth proportional to 3,406.14, 4,699.86 and 1,914.12 is: 2,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.14 : 4,699.86 = 1,914.12 : x
  2. Step 2: Convert to fraction form
    3,406.14/4,699.86 = 1,914.12/x
  3. Step 3: Cross multiply
    3,406.14x = 4,699.86 × 1,914.12
  4. Step 4: Simplify right side
    3,406.14x = 8,996,096.02
  5. Step 5: Solve for x
    x = 8,996,096.02/3,406.14
  6. Step 6: Final answer
    x = 2,641.14

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1.5x scale

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.