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Finding the Fourth Proportional to 2,439.65, 3,657.84 and 795.62

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Solution

The fourth proportional to 2,439.65, 3,657.84 and 795.62 is: 1,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.65 : 3,657.84 = 795.62 : x
  2. Step 2: Convert to fraction form
    2,439.65/3,657.84 = 795.62/x
  3. Step 3: Cross multiply
    2,439.65x = 3,657.84 × 795.62
  4. Step 4: Simplify right side
    2,439.65x = 2,910,232.37
  5. Step 5: Solve for x
    x = 2,910,232.37/2,439.65
  6. Step 6: Final answer
    x = 1,192.89

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1.5x scale

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.