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Finding the Fourth Proportional to 2,416.32, 3,624.48 and 685.04

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Solution

The fourth proportional to 2,416.32, 3,624.48 and 685.04 is: 1,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.32 : 3,624.48 = 685.04 : x
  2. Step 2: Convert to fraction form
    2,416.32/3,624.48 = 685.04/x
  3. Step 3: Cross multiply
    2,416.32x = 3,624.48 × 685.04
  4. Step 4: Simplify right side
    2,416.32x = 2,482,913.78
  5. Step 5: Solve for x
    x = 2,482,913.78/2,416.32
  6. Step 6: Final answer
    x = 1,027.56

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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.