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Finding the Fourth Proportional to 2,164.32, 3,246.75 and 703.08

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Solution

The fourth proportional to 2,164.32, 3,246.75 and 703.08 is: 1,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.32 : 3,246.75 = 703.08 : x
  2. Step 2: Convert to fraction form
    2,164.32/3,246.75 = 703.08/x
  3. Step 3: Cross multiply
    2,164.32x = 3,246.75 × 703.08
  4. Step 4: Simplify right side
    2,164.32x = 2,282,724.99
  5. Step 5: Solve for x
    x = 2,282,724.99/2,164.32
  6. Step 6: Final answer
    x = 1,054.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.