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Finding the Fourth Proportional to 3,406.32, 4,700.74 and 1,914.20

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Solution

The fourth proportional to 3,406.32, 4,700.74 and 1,914.20 is: 2,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.32 : 4,700.74 = 1,914.20 : x
  2. Step 2: Convert to fraction form
    3,406.32/4,700.74 = 1,914.20/x
  3. Step 3: Cross multiply
    3,406.32x = 4,700.74 × 1,914.20
  4. Step 4: Simplify right side
    3,406.32x = 8,998,133.00
  5. Step 5: Solve for x
    x = 8,998,133.00/3,406.32
  6. Step 6: Final answer
    x = 2,641.60

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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.